Question

Jerry needs to buy nails and screws for the construction site. Nails cost $2.75 per pound and screws cost $3.25 per pound. If he

only has $500 to spend on nails and screws, which inequality represents the situation where he buys x pounds of nails and y
pounds of screws?
A)
3.25x +2.75y s 500
B)
3.25x + 2.75y 2 500
2.75x + 3.25y s 500
D)
2.75x + 3.25y 2 500

Answer 1

C) 2.75x+3.25y ≤ 500

Explanation:

Here are the correct options given:

A) 3.25x +2.75y ≤ 500

B) 3.25x + 2.75y ≥ 500

C) 2.75x + 3.25y ≤ 500

D) 2.75x + 3.25y ≥ 500

Given: Nails cost is $2.75 per pound

Screw cost is $3.25 per pound

Jerry has only $500 to spend on nails and screws.

x represent quantity of nail bought and y represent quantity of screw bought.

As given we know that Jerry has only $500 to spend, so the total cost has to be less than or equal to $500. It cannot go more than $500.

Remember, Total cost=
`\textrm{cost of goods per pound}* quantity`

Now, Inequality to represent the cost of buying nails and screw.

`\$2.75* x\ pounds+ \$3.25* y\ pounds\leq \$ 500`

∴
`2.75x+3.25y\leq 500`