Question

Lucy has a total of $25 to spend on her cold cuts for lunch for the week. Turkey costs $6.00 a pound and ham costs $4.50 a pound. Write an equation that Lucy can use to show the total amount of pounds of cold cuts she can buy with her $25. If Lucy bought 2.5 pounds of turkey, how many pounds of ham can she buy?

Answer 1

6x + 4.5y ≤ 25

If Lucy bought 2.5 pounds of turkey, she can buy at most 2.22 pounds of ham.

Explanation:

6(2.5) + 4.5y ≤ 25

15 + 4.5y ≤ 25

4.5y ≤ 10

y ≤ 2.22

Answer 2

`25=6t+4.5h`

2 pounds of ham

Explanation:

1) Construct an equation

Let
`t` be equal to the number of pounds of turkey.

Let
`h` be equal to the number of pounds of ham.

We know that every pound of turkey costs 6 dollars, so the amount of money Lucy must spend on turkey is
`6t`.

We also know that every pound of ham costs 4.50 dollars, so the amount of money Lucy must spend on ham is
`4.5h`.

However, because 25 dollars is her budget,
`6t` and
`4.5h` must be equal to 25.

`25=6t+4.5h`

2) How much ham can Lucy buy if she bought 2.5 pounds of turkey?

`25=6t+4.5h`

Plug in 2.5 as
`t`

`25=6(2.5)+4.5h\\25=15+4.5h`

Subtract both sides by 15

`25-15=15+4.5h-15\\10=4.5h`

Divide both sides by 4.5

`(10)/(4.5)=(4.5h)/(4.5) \\2.22=h`

Therefore, Lucy can buy 2 pounds of ham if she bought 2.5 pounds of turkey.

I hope this helps!