Question

Caitlyn sells xylophones and yo-yos at the county fair. She wants to sell more than 30 toys. She sells the

xylophones for $3. 00 and the yo-yos for $0. 50. She needs to sell more than $40. 00 worth of toys in order to

earn a profit.

a) Write a system of inequalities (where is the number of xylophones and y is the number of yo-yos).

Answer 1

x + y > 30

3x + 0.5y > 40.00

Explanation:

Let x be the number of xylophones and y be the number of yo-yos sold.

The total number of toys sold must be greater than 30, so we have:

x + y > 30

The total amount earned must be greater than $40.00 to earn a profit, so we have:

3x + 0.5y > 40.00

Therefore, the system of inequalities is:

x + y > 30

3x + 0.5y > 40.00