if Jen and Heather went to lunch. Jen discovered that she had only $8.00. Luckily Heather had enough money to pay the other part or 3/5ths of the bill.
How much did Heather pay? and How much was the total bill ?
See the many answers below.
68
To find out how much Heather paid, we need to first calculate the total bill amount.
Let's denote the total bill amount as 'x'.
According to the given information, Jen paid $8.00 and Heather paid 3/5 of the bill.
So, the amount paid by Jen can be expressed as 8.00, and the amount paid by Heather can be expressed as (3/5) * x.
Since the total bill amount should equal the sum of what each person paid, we can write the equation:
8.00 + (3/5) * x = x
To solve for 'x', we can follow these steps:
Step 1: Distribute (3/5) to x
8.00 + (3/5) * x = x
8.00 + (3/5) * x = (5/5) * x (since (5/5) = 1)
Step 2: Combine like terms
8.00 = (5/5) * x - (3/5) * x (using x as a common factor)
8.00 = (2/5) * x
Step 3: Multiply both sides by (5/2) to isolate 'x'
8.00 * (5/2) = (2/5) * x * (5/2)
20.00 = x
Therefore, the total bill amount is $20.00.
To find out how much Heather paid, we can substitute the value of 'x' into the equation:
Heather's payment = (3/5) * x
Heather's payment = (3/5) * 20.00
Heather's payment = 12.00
Therefore, Heather paid $12.00, and the total bill amount was $20.00.