Jen and Heather went to lunch. When the bill came, Jen discovered she had only $8. Luckily, Heather had enough money to pay the other part, 3/5, of the bill.
How much did Heather pay?
How much was the total bill?
(2/5)x = 8
x = 8 / (2/5)
x = (8/1) * (5/2)
x = 40/2
x = 20
The total bill is $20.
20 - 8 = ?
Thank you so much!!
You're very welcome.
you are using 2/5 but the problem say 3/5
can you explain how you figures out Heather's portion of the bill
To find out how much Heather paid, we need to first determine the total bill. We know that Jen had $8, and Heather paid the remaining 3/5 of the bill.
Let's assume the total bill is represented by the variable 'x'.
Since Jen paid $8, the amount Heather paid can be calculated by subtracting $8 from the total bill:
Amount paid by Heather = Total bill - Jen's payment = x - $8
We are also given that Heather paid 3/5 of the bill, so we can set up the following equation:
Amount paid by Heather = (3/5) * Total bill
Now we can equate the two expressions for the amount paid by Heather:
x - $8 = (3/5) * x
To solve this equation, we can multiply both sides by 5 to eliminate the fraction:
5 * (x - $8) = 3x
Now, distribute the 5 on the left side of the equation:
5x - 40 = 3x
Next, combine like terms by subtracting 3x from both sides:
5x - 3x - 40 = 3x - 3x
2x - 40 = 0
Now, add 40 to both sides of the equation:
2x - 40 + 40 = 0 + 40
2x = 40
Finally, divide both sides by 2 to solve for x:
2x/2 = 40/2
x = 20
Therefore, the total bill is $20. To find out how much Heather paid, substitute the value of x into the expression for amount paid by Heather:
Amount paid by Heather = x - $8 = $20 - $8 = $12
So, Heather paid $12 towards the bill.