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

Answer:

$7.48.

Step-by-step 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:

$\text{Pounds of cheese bought by Chole}=\frac{2}{3}\times \frac{3}{5}$

$\text{Pounds of cheese bought by Chole}=\frac{2}{5}$

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:

$\text{Cost of cheese}=\ 4.95\times \frac{2}{5}$

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

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:

$\text{Cost of per pound ham}=\ 4.95\times \frac{5}{3}$

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

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

$\text{Cost of ham}=\ 8.25\times \frac{2}{3}$

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

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

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

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