Boxes of fruit snacks are on sale at the grocery. The boxes are the same size. A family needs to purchase 24 boxes. There are 3 boxes for 5 dollars and 4 boxes for 6 dollars. Which snacks should they purchase if they want to spend lesser amount? How much will they save?

Respuesta :

The family should purchase the 4 boxes for 6 dollars to spend a lesser amount of money. They will save $4.

Answer:

Step-by-step explanation:

To solve the given question we will find the price of 24 boxes using different rates of the boxes.

"If the rate is 3 boxes for 5 dollars."

∵ 3 boxes costs = $5

∴ 1 box costs = [tex]\frac{5}{3}[/tex]

∴ 24 boxes costs = [tex]\frac{5\times 24}{3}[/tex]

                            = $40.00

"If the rate is 4 boxes for 6 dollars"

∵ 4 boxes costs = $6.00

∴ 1 box will cost = [tex]\frac{6}{4}[/tex]

∴ 24 boxes will cost = [tex]\frac{6\times 24}{4}[/tex]

                                  = 6 × 6

                                  = $36

Therefore, snacks of 4 boxes for $6 will be economical and amount saved 40 - 36 = $4.00