SOLUTION: A spool contains 25 1/3 yards of ribbon. It takes 2 � yards of ribbon to make a bow. How many bows can be made? I have already solved this problem...I know you can make 10 with

Question 586046: A spool contains 25 1/3 yards of ribbon. It takes 2 � yards of ribbon to make a bow. How many bows can be made?
I have already solved this problem...I know you can make 10 with 2/15 left.
I need help solving this by solving an equation graphically, guess and check, using a table, repeated addition or subtraction. I also need to some how use technology to solve. Any ideas would be great-Thanks!

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A spool contains 25 1/3 yards of ribbon. It takes 2 � yards of ribbon to make a bow. How many bows can be made?
----
# of bows = 25 1/3 / 2 1/2
----
= [(3*25+1)/3]/[(2*2+1)/2]
---
= [76/3]/[5/2]
----
Invert and multiply
= [76/3]
----
= [152/15]
----
= 10 2/15
===================
Graph:

----------------------
Reaated subtraction
76/3 - 5/2 = (152-15)/6 = 137/6
137/6 - 5/2 = (274-30)/12 = 244/12
244/12- 5/2 = 61/3-5/2 = (122-15)/6 = 107/6
etc.
Keep repeating the subtraction till you get down to 2/15
================
Technology:
Using a TI-84
Enter: (25+(1/3))/(2 + (1/2))
Hit ENTER to get 10.1333
Subtract 10 to get 0.1333
Hit MATH, then Frac to get 2/15
========================================
Cheers,
Stan H.
Cheers,
Stan H.
===================
RELATED QUESTIONS
It takes 3/5 yard of ribbon to make a bow. How many bows can you make with 7 1/2 yards of (answered by rfer)

It takes r cm of ribbon to make a bow. How many bows can be made with s meters of... (answered by Alan3354)

How many bows can you make from 3 2/3 meters of ribbon if a bow takes 1/4 meter of... (answered by rfer)

I do not understand these. Please help me. A) It takes r cm of ribbon to make a bow. (answered by ankor@dixie-net.com)

Kyanna used three pieces of ribbon, each 8 inches long, to make each hair bow for her... (answered by ewatrrr)

Given the following applications, define two variables, express as a linear ineqality,... (answered by Theo)

A fabric store sells two types of ribbon. One customer buys 3 rolls of the lace ribbon... (answered by ikleyn)

A decorator bought a spool with 300 yards of satin ribbon and plants to cut the ribbon... (answered by solver91311)

IF I HAVE A BULLETIN BOARD THAT IS 2 1/2 YARDS LONG AND 1 1/2 YARDS WIDE, HOW MANY INCHES (answered by MathLover1)