cindy and giovanni plan to make spaghetti sauce. cindy needs $4\\frac{3}{4}$ pounds of tomatoes for her…

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$10\\frac{1}{2}$

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

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 two fractions

(\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})

Answer:

(10\frac{1}{2}) (the fourth option)