Question

An advertisement claims that a 5-pound box of detergent will wash 20 loads of a laundry. A 5-pound box costs $3.50. A 15-pound box costs $10.00. About how much will you save per load if you buy the 15-pound box?

Answer 1

You save $0.008 per load if you buy the 15-pound box.

Explanation:

IN 5 POUND BOX

Here, 5 pound box can wash 20 loads

Also, 5 pound box costs $3.50

⇒ The cost of doing 20 loads = $3.50

⇒ The cost of 1 load =
`(3.50)/(20) = 0. 175`

So, the cost of laundering 1 load here = $0.175

IN 15 POUND BOX

Here, 15 ( = 5 x 3) pound box can wash 20 x 3 = 60 loads

Also, 15 pound box costs $10.00

⇒ The cost of doing 60 loads = $10.00

⇒ The cost of 1 load =
`(10)/(60) = 0. 167`

So, the cost of laundering 1 load here = $0.167

Now, Savings = Cost per load in 5 pound box - Cost of 1 load in 15 pound

= $0.175 - $0.167

= $0.008

Hence, you save $0.008 per load if you buy the 15-pound box.