Question

Chole is buying 2/3 pound of ham and 3/5 as many pounds of chesse as ham. Cheese cost $4.95 per pound, and ham cost 5/3 as much per pound as cheese. What is the total amount Chole will pay for the cheese and the ham?

Answer 1

$7.48.

Explanation:

We have been given that Chole is buying 2/3 pound of ham and 3/5 as many pounds of cheese as ham.

First of all, we will find pounds of cheese bought by Chole by finding 3/5 of 2/3 as:

`\text{Pounds of cheese bought by Chole}=(2)/(3)* (3)/(5)`

`\text{Pounds of cheese bought by Chole}=(2)/(5)`

We are told that cheese cost $4.95 per pound. Let us find cost of 2/5 pounds of cheese by multiplying 2/5 by $4.95 as:

`\text{Cost of cheese}=\$4.95* (2)/(5)`

`\text{Cost of cheese}=\$1.98`

We are also told that ham cost 5/3 as much per pound as cheese. Let us find cost of per pound of ham by calculating 5/3 of $4.95 as:

`\text{Cost of per pound ham}=\$4.95* (5)/(3)`

`\text{Cost of per pound ham}=\$8.25`

Cost of 2/3 pound of ham would be $8.25 times 2/3 as:

`\text{Cost of ham}=\$8.25* (2)/(3)`

`\text{Cost of ham}=\$5.50`

`\text{Total cost of cheese and ham}=\$1.98+\$5.50`

`\text{Total cost of cheese and ham}=\$7.48`

Therefore, Chole will pay $7.48 for the cheese and ham.