Denise has $10 and wants to buy pens that cost $0.80 each. How many pens can Denise buy and have at least $6 left?
10 - .80 p ≥ 6
Well, Denise has $10 to spend, and each pen costs $0.80. So let's do some math here!
First, we need to figure out how many pens Denise can buy. We take her $10 and divide it by the cost of each pen, which is $0.80. That gives us:
10 / 0.80 = 12.5
So Denise can buy 12.5 pens. However, we can't have half a pen (unless Denise decides to start a "half-pen" trend). So, Denise can buy a maximum of 12 pens.
Now, we need to figure out how much money she will have left after buying 12 pens. Each pen costs $0.80, so 12 pens will cost:
12 x 0.80 = $9.60
Subtracting this from Denise's initial $10:
10 - 9.60 = $0.40
So, Denise will have $0.40 left after buying 12 pens.
Since we want her to have at least $6 left, she can only buy 6 pens, which will cost her $4.80. This will leave her with $10 - $4.80 = $5.20.
So, Denise can buy 6 pens and have at least $6 left. But hey, at least she'll have some spare change for a joke book to go along with her pens!
To find out how many pens Denise can buy and have at least $6 left, we'll follow these steps:
Step 1: Calculate the cost of one pen.
Denise wants to buy pens that cost $0.80 each.
Step 2: Calculate the total cost of the pens Denise can buy.
To find out how many pens Denise can buy, we divide her total money by the cost of one pen and find the lower integer value.
Number of pens = Total money / Cost per pen
Step 3: Calculate the total money Denise will have left.
To calculate the total money Denise will have left, we subtract the total cost of pens from her total money.
Total money left = Total money - (Number of pens * Cost per pen)
Let's put this into action:
Step 1: Calculate the cost of one pen.
Cost per pen = $0.80
Step 2: Calculate the total cost of the pens Denise can buy.
Number of pens = $10 / $0.80
Number of pens = 12.5 (rounded down to 12 pens)
Step 3: Calculate the total money Denise will have left.
Total money left = $10 - (12 * $0.80)
Total money left = $10 - $9.60
Total money left = $0.40
Therefore, Denise can buy 12 pens and have $0.40 left.
To determine how many pens Denise can buy and still have at least $6 left, we will need to subtract the cost of the pens from the initial amount of money she has and then divide the remaining money by the cost of each pen.
1. Subtract the cost of the pens from the initial amount of money Denise has:
$10 - $0.80 = $9.20
2. Determine the maximum number of pens Denise can buy by dividing the remaining money by the cost of each pen:
$9.20 / $0.80 = 11.5
Since we can't have a fraction of a pen, we need to round down to the nearest whole number. Therefore, Denise can buy 11 pens and still have at least $6 left.