Lily and Tina went to dinner. When the bill came, Lily discovered that she had only $6. Luckily, Tina had enough money to pay the rest or 3/5 of the bill. How much did Tina pay? How much was the total bill?
(2/5)x = 6
x = 6/(2/5)
x = 6 * (5/2
x = 30/2
x = 15
Thank you!
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To find out how much Tina paid, we need to determine the total bill amount. Let's denote the total bill as "B."
We're given that Lily had only $6 and Tina paid 3/5 of the bill. Therefore, we can set up the following equation:
Tina's payment + Lily's money = Total bill amount
Let x represent the total bill amount. Since Tina paid 3/5 of the bill, her payment can be expressed as (3/5)x. Furthermore, since Lily only had $6, her contribution can be represented as $6. Therefore, the equation becomes:
(3/5)x + $6 = x
To solve for x, we'll isolate the variable on one side of the equation:
(3/5)x - x = -$6
(-2/5)x = -$6
Now, we'll solve for x by multiplying both sides of the equation by the reciprocal of -2/5, which is -5/2:
(-2/5)x * (-5/2) = -$6 * (-5/2)
x = $15
So, the total bill amount was $15.
Now, to calculate how much Tina paid, we substitute the value of x into Tina's payment equation:
Tina's payment = (3/5)x
Tina's payment = (3/5) * $15
Tina's payment = $9
Therefore, Tina paid $9.