SOLUTION: 1. Two numbers are in the ratio 3:7. By adding 10 to each, we get two new numbers in the ratio 2:3. Find the original numbers. 2. Ten bananas weigh as much 6 star apples. In thi

Algebra ->  Rational-functions -> SOLUTION: 1. Two numbers are in the ratio 3:7. By adding 10 to each, we get two new numbers in the ratio 2:3. Find the original numbers. 2. Ten bananas weigh as much 6 star apples. In thi      Log On


   



Question 1119526: 1. Two numbers are in the ratio 3:7. By adding 10 to each, we get two new numbers in the ratio 2:3. Find the original numbers.
2. Ten bananas weigh as much 6 star apples. In this rate, how many star apples will weigh as much as 15 bananas?
3. One store sold twice more apples in the afternoon that in the morning. The store sold 450 pieces of apples. How many apples are sold in the morning?
4. Classy finished 3/4 of a book.she calculated that she finished 80 pages more than she has yet to read. How long is her book?
5. Joey gathered twice more marbles than vic and tito gathered 2 more marbles than vic. They gathered 26 marbles. How many marbles did vic gather?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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1. Two numbers are in the ratio 3:7. By adding 10 to each, we get two new numbers in the ratio 2:3. Find the original numbers.
2. Ten bananas weigh as much 6 star apples. In this rate, how many star apples will weigh as much as 15 bananas?
3. One store sold twice more apples in the afternoon that in the morning. The store sold 450 pieces of apples. How many apples are sold in the morning?
4. Classy finished 3/4 of a book.she calculated that she finished 80 pages more than she has yet to read. How long is her book?
5. Joey gathered twice more marbles than vic and tito gathered 2 more marbles than vic. They gathered 26 marbles. How many marbles did vic gather?
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#1:
system%28%28n%2B10%29%2F%28d%2B10%29=2%2F3%2C+n%2Fd=3%2F7%29

system%282d-3n=10%2C7n=3d%29

system%282d-3n=10%2C3d-7n=0%29

sub first from second equations
-9n-%28-14%29n=30-0

5n=30

highlight%28n=6%29
-
3d=7%2An
3d=7%2A6
d=7%2A6%2F3
highlight%28d=14%29
-
Original Number: highlight%286%2F14%29


#5:
??",... twice more marbles than vic ..."??
This is not the best wording and maybe not what was meant.

j, v, t
Joey, Vic, Tito

Literal Translation of the description:
system%28j=v%2B2v%2Ct=v%2B2%2Cj%2Bv%2Bt=26%29
Simplify and work with that system. Your description does not work!

If you were to change to description saying, "Joey gathered twice the marbles that Vic gathered.", then there is a solution that will work.


#4:
Let number of pages in the book be B.
The description will give the equation %283%2F4%29B=80%2BB%2F4, since "still yet to be read", is %281%2F4%29B. Solve for B.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
When you submit many problems in one post,  you will learn  NOTHING.


When you submit separate problems in separate posts,  there is a hope that you will learn  SOMETHING.


THEREFORE,  the rules of this forum  PROHIBIT  submitting more than one problem in one post.


Again:   It is  PROHIBITED  by the rules of this forum.


So,  separate your problems and submit them in separate posts.