Question

The total cost of 5 boxes of pasta is $13. There are 12 ounces of pasta in each box. Each box of pasta costas the same amount. What is the cost in dollars, of the min number of boxes needed to total 48 ounces of pasta?

Answer 1

Answer:

The minimum number of boxes needed is $4$ and the cost is $\ 10.40$

Step-by-step explanation:

step 1

Find the cost of one box

by proportion

$\frac{5}{13}=\frac{1}{x}\\ \\x=13/5\\ \\x=\ 2.60$

step 2

Find the number of boxes for 48 ounces of pasta

by proportion

$\frac{1}{12}=\frac{x}{48}\\ \\x=48/12\\ \\x=4\ boxes$

step 3

Find the cost of 4 boxes

we know that

The cost of one box is $\ 2.60$

so

The cost of 4 boxes is

$\ 2.60(4)=\ 10.40$