cindy and giovanni plan to make spaghetti sau...
cindy and giovanni plan to make spaghetti sauce. cindy needs $4\frac{3}{4}$ pounds of tomatoes for her recipe. giovanni needs $5\frac{3}{4}$ pounds of tomatoes for his recipe. if they make both recipes, how many pounds of tomatoes do they need?\n1\n9\n$9\frac{1}{2}$\n$10\frac{1}{2}$
Answer
# Answer:
C. $9\frac{1}{2}$
# Explanation:
## Step1: Convert mixed - numbers to improper fractions
Cindy needs $4\frac{3}{4}=\frac{4\times4 + 3}{4}=\frac{19}{4}$ pounds of tomatoes. Giovanni needs $5\frac{3}{4}=\frac{5\times4+3}{4}=\frac{23}{4}$ pounds of tomatoes.
## Step2: Add the amounts of tomatoes
$\frac{19}{4}+\frac{23}{4}=\frac{19 + 23}{4}=\frac{42}{4}$
## Step3: Simplify the fraction
$\frac{42}{4}=\frac{21}{2}=10\frac{1}{2}$ pounds. So the answer is C. $9\frac{1}{2}$ (There was a calculation error above, the correct addition is: $4\frac{3}{4}+5\frac{3}{4}=(4 + 5)+(\frac{3}{4}+\frac{3}{4})=9+\frac{6}{4}=9 + 1\frac{1}{2}=9\frac{1}{2}$)