Question

ACME Hardware is introducing a new product called Greener Cleaner. Complete the table by finding the cost per milliliter for each size based on the sales price. One liter is 1,000 milliliters. (Answer the questions too, please!)

Answer 1

Explanation:

a). 'Per ml' cost of the small size =
`\frac{\text{Sale price of small cane}}{\text{Amount of liquid}}`

=
`(4.50)/(250)`

= $0.018

'Per ml' cost of the medium size =
`\frac{\text{Sale price of medium cane}}{\text{Amount of liquid}}`

=
`(9.95)/(500)`

= $0.0199

'Per ml' cost of the large size =
`\frac{\text{Sale price of large cane}}{\text{Amount of liquid}}`

=
`(16.95)/(1000)`

= $0.01695

Therefore, expression to compare per ml cost of three containers will be,

$0.0199 > $0.018 > $0.01695

b). Least expensive way to buy the cleaner is to choose the container with least per ml cost.

Cost of 1500 ml cleaner = Cost of 1000 ml cleaner + Cost of 500 ml of cleaner

= Cost of 1000 ml cleaner container + Cost of 'n' containers of 250 ml container

Total cost of 1500 ml = $16.95 + $4.50n

= 16.95 + 2(4.5) [For n = 2]

= $25.95

c). Most expensive way to purchase 1500 ml cleaner is to choose the most expensive cleaners

Cost of 1500 ml cleaner = Cost of 'n' containers of medium size containers

= 9.95(n)

= 9.95(3)

= $29.85