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?

2 pounds of ham

Step-by-step explanation:

1) Construct an equation

Let be equal to the number of pounds of turkey.

Let 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 .

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

However, because 25 dollars is her budget, and must be equal to 25.

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

Plug in 2.5 as

Subtract both sides by 15

Divide both sides by 4.5

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

I hope this helps!