Question

A Construction contractor used the equation 11.52 = (1.44)8 to calculate how much 8 boxes of nails would cost him . How much would 2 boxes of nails cost him?

Answer 1

Answer:

The 2 boxes of nails will cost him $ 2.88.

Step-by-step explanation:

Cost of a given substance is the amount of money needed to acquire it. The total cost involved in the purchase of a given number of units is equal to the cost of one unit multiplied by the total number of units.

Total cost = Cost of 1 unit × Total number of units          ....equation 1

Given: Boxes of nails to be bought = 8

Price of 2 boxes of nails = ?

Assuming the money to be in dollars ($).

The given equation used to calculate the cost of 8 units or boxes of nails:

11.52 = (1.44)8                                                                        ....equation 2

By comparing equations (1) and (2), we get

The cost of 1 box of nails = $ 1.44

and the total cost of 8 boxes of nails = $ 11.52

∴ The total cost of 2 boxes of nails = cost of 1 box of nails × 2 = $ 1.44 × 2 =  $ 2.88

Therefore, the 2 boxes of nails will cost him $ 2.88.