Question

julie and amy are decorating cookies. julie has decorated 53 cookies and can decorate 10 cookies every hour. amy has decorated 25 cookies and can decorate 14 cookies every hour. after how many hours will amy have decorated at least as many cookies as julie? let ( x ) represent the number of hours they decorate cookies. write an inequality that represents the situation. then solve the inequality. use the keypad to enter the answers in the boxes. an inequality that represents the situation is (square). amy will have decorated at least as many cookies as julie after (square) hours.

Explanation:

Step1: Define total cookies for each

Julie's total: $53 + 10x$
Amy's total: $25 + 14x$

Step2: Set up inequality

Amy's total ≥ Julie's total:
$25 + 14x \geq 53 + 10x$

Step3: Isolate x terms

Subtract $10x$ from both sides:
$25 + 4x \geq 53$

Step4: Isolate constant terms

Subtract 25 from both sides:
$4x \geq 28$

Step5: Solve for x

Divide by 4:
$x \geq 7$

Answer:

An inequality that represents the situation is $25 + 14x \geq 53 + 10x$.
Amy will have decorated at least as many cookies as Julie after 7 hours.