Nabhitha has $740 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 $275.84.
She buys 2 bicycle reflectors for $9.57 each and a pair of bike gloves for $24.62.
She plans to spend some or all of the money she has left to buy new biking outfits for $52.55 each.
Use the drop-down menu below to write an inequality representing oo, the number of outfits she can buy while staying within her budget.
To write an inequality representing the number of outfits Nabhitha can buy while staying within her budget, we need to calculate the amount of money she has left after buying the bicycle, reflectors, and bike gloves.
First, let's calculate the total amount she spent on the bicycle, reflectors, and bike gloves:
Total spent = Bicycle price + (Reflectors price x 2) + Bike gloves price
= $275.84 + ($9.57 x 2) + $24.62
= $275.84 + $19.14 + $24.62
= $319.60
Now, let's calculate how much money she has left:
Money left = Total budget - Total spent
= $740 - $319.60
= $420.40
Next, we need to determine how many outfits she can buy with the money she has left. Each outfit costs $52.55. Let's represent the number of outfits she can buy as "x".
Inequality representation:
52.55x ≤ 420.40
This inequality states that the product of the number of outfits (x) and the cost per outfit (52.55) should be less than or equal to the money she has left (420.40).
Now, if you simplify this inequality, you'll get the exact range of values for x.