Question

.Jeremy needs to mail five Christmas packages to his family. The first two weigh 3 pounds each and theother three weigh 2 pounds each. If two-day shipping costs $0.37 per ounce and ground shippingcosts $0.30 per ounce, how much will he save by shipping all of his packages by ground rather thantwo-day?

Answer 1

We know that

• The first two weigh 3 pounds.

,

• The other three weigh 2 pounds,.

,

• Two-day shipping costs $0.37 per ounce.

,

• Ground shipping costs $0.30 per ounce.

We also know that 1 pound is equal to 16 ounces.

So, the weights are

`3\cdot16=48`
`2\cdot16=32`

So, the cost of each package of 48 ounces is

`48\cdot0.37=17.76`

Therefore, each 3 pounds package costs $17.76 with two-day shipping.

We repeat the process for the other packages.

`32\cdot0.37=11.84`

Therefore, each 2 pounds package costs $11.84 with two-day shipping. So, the total is

`2(17.76)+3(11.84)=35.52+35.52=71.04`

Sending all packages with two-day shipping costs $71.04.

We repeat all the process for ground shipping.

`2\cdot48\cdot0.30=28.8`

`3\cdot32\cdot0.30=28.8`

Both services cost $28.8 each, so the total is $57.6.

IF we compare both services, we have

`71.04-57.6=13.44`

Therefore, he will save $13.44.