Juan has $640 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 $265.36.
He buys 2 bicycle reflectors for $13.61 each and a pair of bike gloves for $37.11.
He plans to spend some or all of the money he has left to buy new biking outfits for $54.87 each.
What is the greatest number of outfits Juan can buy with the money that's left over?
First, let's calculate how much money Juan has left after buying the bicycle, reflectors, and gloves:
Total spent so far: $265.36 + $13.61*2 + $37.11 = $265.36 + $27.22 + $37.11 = $329.69
Money left: $640 - $329.69 = $310.31
Now, let's calculate how many biking outfits Juan can buy with the money left over:
Cost of 1 biking outfit: $54.87
Number of outfits Juan can buy = $310.31 / $54.87 ≈ 5.65
Since Juan cannot buy a fraction of an outfit, he can buy the greatest number of whole outfits, which is 5.
Therefore, the greatest number of outfits Juan can buy with the money left over is 5.
Under her cell phone plan, Serenity pays a flat cost of $64.50 per month and $4 per gigabyte, or part of a gigabyte. (For example, if she used 2.3 gigabytes, she would have to pay for 3 whole gigabytes.) She wants to keep her bill under $70 per month. What is the maximum whole number of gigabytes of data she can use while staying within her budget?
Let's assume Serenity uses x gigabytes of data. In this case, she will have to pay $64.5 for the flat cost plus $4x for the data usage.
Therefore, her total cost per month is $64.5 + $4x, and we want to find the maximum whole number of gigabytes she can use while keeping the total cost under $70.
Setting up the inequality:
$64.5 + $4x ≤ $70
$4x ≤ $70 - $64.5
$4x ≤ $5.5
x ≤ $5.5 / $4
x ≤ 1.375
Since Serenity can only use whole gigabytes of data, the maximum whole number of gigabytes of data she can use while staying within her budget is 1 gigabyte. Using more than 1 gigabyte would exceed her monthly budget of $70.