Question

Zendaya has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

She buys a new bicycle for $269.88.
She buys 4 bicycle reflectors for $10.57 each and a pair of bike gloves for $17.76.
She plans to spend some or all of the money she has left to buy new biking outfits for $65.65 each.

Write and solve an inequality which can be used to determine
x
x, the number of outfits Zendaya can purchase while staying within her budget.




Plsss help!!

Answer 1

• 269.88 +4(10.57) +17.76 +65.65x ≤ 540
• x ≤ 3.2; 3 outfits or less

Explanation:

After spending $269.88, 4 times $10.57, and $17.76 of her $540 budget, you want to know how many (x) outfits Zendaya can buy at $65.65 each.

Inequality

The total of Zendaya's spending must be no more than her budget amount:

269.88 +4(10.57) +17.76 +65.65x ≤ 540

Solution

Simplifying the inequality gives ...

329.92 +65.65x ≤ 540

65.65x ≤ 210.08 . . . . . . . . . . subtract 329.92

x ≤ 3.2 . . . . . . . . . . . . . divide by 65.65

Zendaya can purchase up to 3 outfits while staying within her budget.