Ismail, Jared and Keith shared the cost of a meal. Ismail paid 1/8 of the bill. Keith paid the same amount as the total sum paid by Ismail and Jared. If the cost of the meal was $192, how much did Jared pay for the meal?
cost x = 1/8 * 192
of Ismail => 24
Jared = y Keith => 24 + y
24 + y + 24 + y = 192
Jared pay y = 72
To solve this problem, we need to use algebra. Let's start by letting x be the amount that Jared paid for the meal. We know that Ismail paid 1/8 of the bill, which means that he paid:
1/8 * $192 = $24
We also know that Keith paid the same amount as the total sum paid by Ismail and Jared. So, the total amount paid by Ismail and Jared is:
$24 + x
Therefore, Keith paid:
$24 + x
And we know that the total cost of the meal was $192, so we can set up an equation:
$24 + x + $24 + x = $192
Simplifying this equation, we get:
2x + $48 = $192
Subtracting $48 from both sides, we get:
2x = $144
Dividing both sides by 2, we get:
x = $72
Therefore, Jared paid $72 for the meal.
Let's calculate the amount Ismail paid for the meal first. We know that Ismail paid 1/8 of the total bill.
So, the amount Ismail paid = (1/8) * $192
= $24
Now, we know that Keith paid the same amount as the total sum paid by Ismail and Jared.
Let the amount Jared paid = J
The total amount paid by Ismail and Jared = $24 + J
Since Keith paid the same amount, we can equate this to the cost of the meal:
$24 + J = $192
Solving for J:
J = $192 - $24
= $168
Therefore, Jared paid $168 for the meal.
To find out how much Jared paid for the meal, we need to first calculate how much Ismail and Keith paid.
We're given that Ismail paid 1/8 of the total bill. The cost of the meal is $192, so to find out how much Ismail paid, we need to divide the total cost by 8:
Amount Ismail paid = $192 / 8 = $24
We're also given that Keith paid the same amount as the total sum paid by Ismail and Jared. Let's express this as an equation:
Amount Keith paid = Amount Ismail paid + Amount Jared paid
We already know that Amount Ismail paid is $24. Let's represent Amount Jared paid as J:
Amount Keith paid = $24 + J
Since we're looking to find out how much Jared paid, we need to solve for J. We know that the cost of the meal is $192, so we can set up the following equation:
$192 = $24 + J
To isolate J, we need to subtract $24 from both sides of the equation:
$192 - $24 = J
J = $168
Therefore, Jared paid $168 for the meal.