Lesson OVERVIEW of my additional lessons on solving single linear equations and word problems in one unknown

Source code of 'OVERVIEW of my additional lessons on solving single linear equations and word problems in one unknown'

This Lesson (OVERVIEW of my additional lessons on solving single linear equations and word problems in one unknown) was created by by ikleyn(52960)

: View Source, Show
About ikleyn:

<H2>OVERVIEW of my additional lessons on solving single linear equations and word problems in one unknown</H2>

My additional lessons on solving linear equations and word problems in one unknown in this site (section 2) are

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/equations/One-more-lesson-on-solving-problems-by-the-backward-method.lesson>One more lesson on solving problems by the backward method</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/equations/Choose-an-unknown-variable-in-a-rational-way-for-your-problem.lesson>Choose an unknown variable in a rational way for your problem</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/equations/Solving-problems-in-three-unknowns-using-only-one-equation.lesson>Entertainment problems on finding three unknowns using only one equation</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/equations/Upper-level-word-problems-to-solve-using-single-linear-equation.lesson>Upper level word problems to solve using a single linear equation</A>

<H3>List of lessons with short annotations</H3>

<A HREF=https://www.algebra.com/algebra/homework/equations/One-more-lesson-on-solving-problems-by-the-backward-method.lesson>One more lesson on solving problems by the backward method</A>

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<B>Problem 1</B>. &nbsp;Andy, &nbsp;Berlin and &nbsp;Cheryl had a total of &nbsp;6750 &nbsp;stamps.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(1) &nbsp;&nbsp;At first, &nbsp;Andy gave &nbsp;50% of his stamps to &nbsp;Berlin.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(2) &nbsp;&nbsp;Berlin then gave 1/3 of her stamps to Cheryl.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(3) &nbsp;&nbsp;Finally, &nbsp;Cheryl gave &nbsp;1/6 &nbsp;of her stamps to &nbsp;Andy.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In the end, &nbsp;the ratio of the number of &nbsp;Andy’s stamps to the number of &nbsp;Berlin’s stamps became &nbsp;4:5.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Cheryl had twice the total number of stamps that &nbsp;Andy and &nbsp;Berlin had.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;How many stamps did &nbsp;Berlin and &nbsp;Cheryl have in total at first?

<A HREF=https://www.algebra.com/algebra/homework/equations/Choose-an-unknown-variable-in-a-rational-way-for-your-problem.lesson>Choose an unknown variable in a rational way for your problem</A>

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<B>Problem 1</B>. &nbsp;Tom had &nbsp;4/5 &nbsp;as many stamps as &nbsp;Michael. &nbsp;After &nbsp;Michael gave away &nbsp;3/7 &nbsp;of his stamps,

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Tom had &nbsp;40 &nbsp;more stamps than &nbsp;Michael. &nbsp;How many stamps did &nbsp;Tom have?

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<B>Problem 2</B>. &nbsp;Mrs &nbsp;Johnson and her &nbsp;2 &nbsp;sons &nbsp;Bernard and &nbsp;Raymond shared a sum of money.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The ratio received by &nbsp;Mrs &nbsp;Johnson to that received by &nbsp;Bernard was &nbsp;5 &nbsp;to &nbsp;2 .

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The ratio of money received by &nbsp;Bernard &nbsp;to that received by Raymond was &nbsp;3 &nbsp;to &nbsp;4.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;After &nbsp;Mrs &nbsp;Johnson gave &nbsp;20% &nbsp;of her share to &nbsp;Raymond and B&nbsp;ernard donated &nbsp;1/3 &nbsp;of his share to charity,

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Raymond then had &nbsp;$4270 &nbsp;more than &nbsp;Bernard.

<A HREF=https://www.algebra.com/algebra/homework/equations/Solving-problems-in-three-unknowns-using-only-one-equation.lesson>Entertainment problems on finding three unknowns using only one equation</A>

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<B>Problem 1</B>. &nbsp;A school cafeteria cashier has collected &nbsp;$243 &nbsp;in one-dollar, &nbsp;five-dollar,

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and ten-dollar bills. &nbsp;The number of one-dollar bills is eight more than &nbsp;20 &nbsp;times the number of ten-dollar bills.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The cashier also has seven more than twice the number of ten-dollar bills in five-dollar bills. &nbsp;How many bills of each value does the cashier have?

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<B>Problem 2</B>. &nbsp;You are at the store, &nbsp;and are trying to remember how much bread, &nbsp;meat, &nbsp;and cheese you were supposed to buy.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The bread costs &nbsp;$3 &nbsp;per loaf, &nbsp;the meat costs &nbsp;$5 &nbsp;per pound, &nbsp;and the cheese costs &nbsp;$2 &nbsp;per pound.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;You know that you are to buy fifteen items, &nbsp;that the total cost will be &nbsp;$51,

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and that you are supposed to purchase one more meat than cheese. &nbsp;How many meat do you need to purchase?

<A HREF=https://www.algebra.com/algebra/homework/equations/Upper-level-word-problems-to-solve-using-single-linear-equation.lesson>Upper level word problems to solve using a single linear equation</A>

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<B>Problem 1</B>. &nbsp;Three shops sold the same number of lanterns during the lantern festival.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Shop &nbsp;A &nbsp;sold &nbsp;1/2 &nbsp;or its lanterns, &nbsp;Shop &nbsp;B &nbsp;sold &nbsp;2/3 &nbsp;of its lanterns and

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Shop &nbsp;C &nbsp;sold &nbsp;3/4 &nbsp;of its lanterns. &nbsp;If the three shops had a total of &nbsp;330 &nbsp;lanterns left,

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;how many lanterns did each shop sell?

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<B>Problem 2</B>. &nbsp;Jamie spent &nbsp;3/4 &nbsp;of her money on &nbsp;3 &nbsp;books of the same price.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Grace spent &nbsp;5/9 &nbsp;of her money on &nbsp;2 &nbsp;diaries.