Question

You're shopping from a candy store that sells candy in bulk bins. Gummy bears cost $4.50 per pound and peach rings cost $5.00 per pound. Write down an inequality that represents the price of a combination of candy that costs less than $7.00 in total. In your inequality, use the variable x to represent the amount of gummy bears in pounds and the variable y to represent the amount of peach rings in pounds.

Answer 1

To represent the total cost of a combination of gummy bears and peach rings that costs less than $7.00, we can set up the inequality as follows:

1. Let \( x \) represent the amount of gummy bears in pounds.
2. Let \( y \) represent the amount of peach rings in pounds.
3. The cost of gummy bears is $4.50 per pound, so the cost for \( x \) pounds of gummy bears is \( 4.50x \).
4. The cost of peach rings is $5.00 per pound, so the cost for \( y \) pounds of peach rings is \( 5.00y \).
5. We want the total cost to be less than $7.00.

Putting it all together, the inequality is:

\[ 4.50x + 5.00y < 7.00 \]

This inequality represents the cost of the combination of candy that is less than $7.00.