Keilantra has $660 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 $488.20.
She buys 2 bicycle reflectors for $11.17 each and a pair of bike gloves for $19.05.
She plans to spend some or all of the money she has left to buy new biking outfits for $37.26 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Keilantra can purchase while staying within her budget.
Keilantra's total budget is $660.
First, she buys a bicycle for $488.20.
The total cost for the 2 bicycle reflectors is 2 * $11.17 = $22.34.
She also buys a pair of bike gloves for $19.05.
Now, let's calculate how much money Keilantra has spent so far:
Total spent = Cost of bicycle + Cost of reflectors + Cost of gloves
Total spent = $488.20 + $22.34 + $19.05
Total spent = $529.59
Next, we need to calculate how much money Keilantra has left to spend on biking outfits:
Money left = Total budget - Total spent
Money left = $660 - $529.59
Money left = $130.41
Each biking outfit costs $37.26.
Let x be the number of biking outfits Keilantra can purchase. We want to write an inequality that represents Keilantra spending less than or equal to the money she has left on x outfits.
So the inequality will be:
Cost of outfits * Number of outfits ≤ Money left
$37.26 * x ≤ $130.41
Now, we solve for x:
x ≤ $130.41 / $37.26
x ≤ 3.5
Since Keilantra cannot buy a fraction of an outfit, we must round down to the nearest whole number.
Therefore, Keilantra can purchase at most 3 biking outfits while staying within her budget.
what is the Inequality
The inequality is:
$37.26x ≤ $130.41
This is the inequality that represents Keilantra spending less than or equal to the money she has left on x outfits.
Please write your inequality in the form a, x, plus, b, is less than or equal to, cax+b≤c
The inequality in the requested form is:
37.26x + 0 ≤ 130.41
To find the number of outfits Keilantra can purchase while staying within her budget, we need to set up an inequality.
Let's break down Keilantra's expenses:
- The cost of the new bicycle is $488.20.
- She purchases two bicycle reflectors, each costing $11.17, so the total cost of the reflectors is $2 * $11.17 = $22.34.
- She buys a pair of bike gloves for $19.05.
The total cost of these purchases can be calculated as:
$488.20 + $22.34 + $19.05 = $529.59
Now, let's denote the number of biking outfits Keilantra will purchase as 'x'. Since each outfit costs $37.26, the total cost of the outfits can be represented as: $37.26 * x.
To ensure Keilantra stays within her budget, we can set up the following inequality:
$37.26 * x ≤ $660 - $529.59
Simplifying the inequality:
$37.26 * x ≤ $130.41
Finally, to solve for 'x', we divide both sides of the inequality by $37.26:
x ≤ $130.41 / $37.26
x ≤ 3.5
Since the number of outfits cannot be a fraction, Keilantra can purchase a maximum of 3 outfits while staying within her budget.