Question

Fiona is purchasing hammers and wrenches for her workshop, and she would like to

spend under $120. Each hammer costs $5, and each wrench costs $6. Let x be the
number of hammers and y be the number of wrenches.
Select the inequality that describes the situation.
O 6x + 5y< 120
5x + 6y> 120
O6x + 5y 120
5x + 6y< 120

Answer 1

The inequality that describes the situation is 5x + 6y < 120

Explanation:

This inequality states that the total cost of purchasing x hammers and y wrenches must be less than $120. Each hammer costs $5 and each wrench costs $6, so the total cost is represented by the expression 5x + 6y.

The inequality states that 5x + 6y < 120 which means for any number of hammers and wrenches she buys it should be less than 120.

The other options:

6x + 5y < 120: the coefficient of x is 6 instead of 5 and that of y is 5 instead of 6.

5x + 6y > 120: the inequality is greater than instead of less than, which means that the total cost should be greater than $120 which is not the case.

6x + 5y ≥ 120 : the inequality is greater than or equal to instead of less than, which means that the total cost should be greater than or equal to $120 which is not the case.