Jose has $580 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

He buys a new bicycle for $284.52.
He buys 4 bicycle reflectors for $15.65 each and a pair of bike gloves for $11.31.
He plans to spend some or all of the money he has left to buy new biking outfits for $31.95 each.

What is the greatest number of outfits Jose can buy with the money that's left over?

5 answers

First, let's calculate the total amount Jose spent on the bike, reflectors, gloves, and outfits so far:

Bike: $284.52
Reflectors: 4 x $15.65 = $62.60
Gloves: $11.31
Outfits: 1 x $31.95 = $31.95

Total spent so far: $284.52 + $62.60 + $11.31 + $31.95 = $390.38

Now, let's subtract the total spent so far from the total amount Jose has to spend:

Total amount Jose has: $580
Total spent so far: $390.38

Amount left over: $580 - $390.38 = $189.62

Now, let's calculate the greatest number of outfits Jose can buy with the amount left over:

Amount left over: $189.62
Cost of one outfit: $31.95

Number of outfits Jose can buy with amount left over: $189.62 / $31.95 ≈ 5.93

Since Jose cannot buy a fraction of an outfit, the greatest number of outfits he can buy with the money left over is 5 outfits.
A group of friends wants to go to the amusement park. They have no more than $605 to spend on parking and admission. Parking is $17.25, and tickets cost $37.25 per person, including tax. Which inequality can be used to determine pp, the maximum number of people who can go to the amusement park?

A. 17.25 + 37.25p ≤ 605
B. 37.25 + 17.25p ≥ 605
C. 37.25 + 17.25p ≤ 605
D. 517.25 +37.25p ≥ 605
We can use the given information to create an inequality:

Total cost ≤ Total budget
(17.25 + 37.25p) ≤ 605

Therefore, the correct inequality is:
A. 17.25 + 37.25p ≤ 605

This inequality represents that the sum of the parking cost and the cost for the number of people attending (represented by 37.25 times p) should be less than or equal to the total budget of $605.
Under her cell phone plan, Violet pays a flat cost of $38 per month and $3 per gigabyte. She wants to keep her bill under $80 per month. Which inequality can be used to determine xx, the maximum number of gigabytes Violet can use while staying within her budget?

A. 80 > 3x + 38
B. 80 > 3 (38 + x)
C. 80 < 3x + 38
D. 80 < 3 (38+x)
Let xx represent the maximum number of gigabytes Violet can use.

The cost per month is $38 plus $3 per gigabyte, so the total cost in relation to the number of gigabytes can be expressed as:

Total Cost = $38 + $3x

Violet wants her bill to be under $80 per month, which can be represented as an inequality:

$38 + $3x ≤ $80

Therefore, the correct inequality is:

C. 38 + 3x ≤ 80