Answer:
Money made by you =$55
Money made by your friend = $33
Step-by-step explanation:
Given:
The ratio of the amount of money you make to the amount of money your friend makes = 5:3
The total amount made = $88
To find money made by each of them using tape diagrams.
Solution:
The tape diagram for the given situation is shown below.
Money mad by you is represented by 5 rectangles
Money mad by your friend is represented by 3 rectangles
Total number of rectangles =
= 8
Thus, 8 rectangle represent a total of $88.
We have
![8\ rectangles =\$88](https://tex.z-dn.net/?f=8%5C%20rectangles%20%3D%5C%2488)
Dividing both sides by 8, we have:
![\frac{8}{8}\ rectangles =\$\frac{88}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B8%7D%5C%20rectangles%20%3D%5C%24%5Cfrac%7B88%7D%7B8%7D)
![1\ rectangle =\$11](https://tex.z-dn.net/?f=1%5C%20rectangle%20%3D%5C%2411)
So, money made by you will be:
![5\ rectangles =5\times \$11=\$55](https://tex.z-dn.net/?f=5%5C%20rectangles%20%3D5%5Ctimes%20%5C%2411%3D%5C%2455)
Money made by your friend will be:
![3\ rectangle =3\times \$11=\$33](https://tex.z-dn.net/?f=3%5C%20rectangle%20%3D3%5Ctimes%20%5C%2411%3D%5C%2433)