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.
[tex]\frac{7}{2} =\frac{x}{10} \\70=2x\\x=35[/tex] [tex]\frac{7}{2} =\frac{x}{5} \\35=2x\\x=17.5[/tex]
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.
[tex]\frac{7}{2} =\frac{70}{x} \\7x=140\\x=20[/tex]
Part C1: This problem is the same is the same as the previous questions.
[tex]\frac{7}{2} =\frac{x}{12} \\84=2x\\x=42[/tex]
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.
[tex]\frac{2}{9} =\frac{x}{36} \\72=9x\\x=8[/tex]
