PLEASE HELP!!!!!!!!!!!!!!!!!!!

Nikita is making spaghetti sauce and pizzas for a large party. Her spaghetti sauce recipe calls for 1 3/4 cups of tomato paste, and her pizza recipe uses 2/3 cup of tomato paste per pizza. She will triple her spaghetti sauce recipe and make 6 pizzas. Write and evaluate an expression for how many 3/4 cup cans of tomato paste she will need in all. PLEASE SHOW ALL THE WORK!

(tomato paste for spaghetti 3) + (tomato paste for pizza 6) ÷ cup cans of tomato paste = answer
(1 3/4 3) + (2/3 6) ÷ 3/4
=(7/4 3) + (2/3 6) ÷ 3/4
=(21/4 + 12/3) ÷ 3/4
=111/12 ÷ 3/4
=444/3
=148 cans of tomato paste

Answer Link

JeanaShupp JeanaShupp · Answer 2 · 2019-01-10T23:30:05-05:00

Answer: The required expression:-(3\times\frac{7}{4}+6\times\frac{2}{3})\div\frac{3}{4}\\

The number of 3/4 cup cans of tomato paste she will need in all. \(\frac{37}{4}\ of\ \frac{3}{4}cups\)

Step-by-step explanation:

Given: Required amount of tomato paste for spaghetti sauce= \(1\frac{3}{4}\ cups=\frac{7}{4}\ cups\)

Therefore, triple the amount of tomato paste for spaghetti sauce\(=3\times\frac{7}{4}\) cans

Required amount of tomato paste for a pizza=\(\frac{2}{3}\ cup\)

Therefore, amount of tomato paste for 6 pizzas\(=6\times\frac{2}{3}\ cups\)

Total number of 3/4 cup cans of tomato paste she will need in all

\(=(3\times\frac{7}{4}+6\times\frac{2}{3})\div\frac{3}{4}\\=(\frac{21}{4}+4)\times\frac{4}{3}\\=(\frac{37}{4})\times\frac{4}{3}=\frac{37}{3}\ (\frac{3}{4}\ cups)\)