Question

please help on these questions.

Answer 1

Answer:

A:  35, 17.5

B:  20

C1:  42

C2:  8

Step-by-step 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.

$\frac{7}{2} =\frac{x}{10} \\70=2x\\x=35$             $\frac{7}{2} =\frac{x}{5} \\35=2x\\x=17.5$

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.

$\frac{7}{2} =\frac{70}{x} \\7x=140\\x=20$

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

$\frac{7}{2} =\frac{x}{12} \\84=2x\\x=42$

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.

$\frac{2}{9} =\frac{x}{36} \\72=9x\\x=8$