Question

Please help on these questions.

Answer 1

A: 35, 17.5

B: 20

C1: 42

C2: 8

Explanation:

Part A: You need to use a ratio to solve this problem. To solve a ratio, multiply the first numerator by the second denominator and the first denominator by the second numerator. Do this for both parts of the question.

`(7)/(2) =(x)/(10) \\70=2x\\x=35`
`(7)/(2) =(x)/(5) \\35=2x\\x=17.5`

Part B: This problem has the same concept. You can use which ever ratios you want to solve this, but I am going to use the numbers that were originally given.

`(7)/(2) =(70)/(x) \\7x=140\\x=20`

Part C1: This problem is the same is the same as the previous questions.

`(7)/(2) =(x)/(12) \\84=2x\\x=42`

Part C2: This problem asks for the ratio of sugar to total cups. (In the past problems, the ratio was flour to sugar.) So, the ratio will be 2/9 instead of 7/2.

`(2)/(9) =(x)/(36) \\72=9x\\x=8`