Question

Mary has $250 to spend. She buys gift cards for $130. She will use the rest of the money

to buy candy bars that cost $1.50 each. Which inequality can be used to find the greatest
number of candy bars she can buy with the rest of the money?
A. 130x+1.50 ≥250
B. 130x +1.50 ≤ 250
C. 130 +1.50x ≥ 250
D. 130 +1.50x ≤ 250

Answer 1

D. 130 +1.50x ≤ 250

Explanation:

250 - 130 = 120
1.50x = 120

Answer 2

Let's start by finding how much money Mary has left after buying the gift cards:

$250 - $130 = $120

Now, to find the greatest number of candy bars Mary can buy, we need to divide the amount of money she has left by the cost of each candy bar:

$120 ÷ $1.50 = 80

So Mary can buy up to 80 candy bars with the rest of her money.

We can check which inequality represents this situation by plugging in the numbers:

130 + 1.50x ≤ 250

where x represents the number of candy bars Mary buys.

If we subtract 130 from both sides, we get:

1.50x ≤ 120

Finally, if we divide both sides by 1.50, we get:

x ≤ 80

This matches our answer, so the correct inequality is:

D. 130 +1.50x ≤ 250