Ivan rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 93 cents for each mile driven. Ivan had to pay $144.64 when he returned the truck. For how many miles did he drive the truck?
Let's call the number of miles Ivan drove "x". The additional charge for each mile driven is $0.93.
So the equation for the total cost of renting the truck can be written as:
Total cost = base fee + additional charge per mile * number of miles driven
$144.64 = $20.95 + $0.93x
To solve for x, we can subtract $20.95 from both sides of the equation:
$144.64 - $20.95 = $0.93x
$123.69 = $0.93x
Now we can divide both sides of the equation by $0.93 to solve for x:
$123.69 / $0.93 = x
133 miles = x
Therefore, Ivan drove the truck for 133 miles.
Lashonda received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.56 per pound. After buying the coffee, she had $49.76 left on her card. How many pounds of coffee did she buy?
Let's represent the number of pounds of coffee Lashonda bought as "x".
The cost of each pound of coffee is $7.56.
Therefore, the total cost of the coffee she bought can be calculated as:
Total cost = cost per pound * number of pounds bought
Total cost = $7.56 * x
The remaining balance on her gift card is $49.76.
So, we can write the equation:
Gift card balance = initial gift card amount - total cost
$49.76 = $80 - ($7.56 * x)
Now, let's solve for x:
$49.76 = $80 - $7.56x
Subtracting $80 from both sides of the equation:
$49.76 - $80 = -$7.56x
-$30.24 = -$7.56x
Dividing both sides of the equation by -7.56:
(-$30.24)/(-$7.56) = x
4 = x
Therefore, Lashonda bought 4 pounds of coffee.
To find the number of miles Ivan drove the truck, we can start by subtracting the base fee from the total amount he paid, and then divide the result by the additional charge per mile.
1. Subtract the base fee from the total amount paid:
$144.64 - $20.95 = $123.69
2. Divide the result by the additional charge per mile:
$123.69 รท $0.93 = 133 miles
Therefore, Ivan drove the truck for 133 miles.