Jake ate 3/8 of a pizza and spent $4.00 on french fries .Bill ate the other 5/8 of a pizza and spent $1.50 on a drink. Their bills were equal. How much did the whole pizza cost?

Let x=cost of pizza.

then
3x/8+4=5x/8+1.5
solve for x.

Cost of Jake

Cost of Jake=cost of Pizza+French fries

Cost of Jake=3/8 Pizza+4

Cost of Bill= cost of Pizza+Drink=5/8 Pizza+1.5

Cost of Bill= Cost of Jake

3/8 Pizza+4= 5/8 Pizza+1.5

2.5=(5-3)/8 Pizza

Pizza=2.5 x 8/2=$10

Cost of Pizza=$10

That much is cost of whole Pizza.

Let's assume the cost of the whole pizza as 'x'.

Jake ate 3/8 of the pizza, so his portion cost (3/8) * x.
Bill ate 5/8 of the pizza, so his portion cost (5/8) * x.

Jake also spent $4.00 on french fries, and Bill spent $1.50 on a drink. So, their bills are equal.

Putting it all together, we can set up the equation:

(3/8) * x + $4.00 = (5/8) * x + $1.50

Simplifying the equation:

3x/8 - 5x/8 = $1.50 - $4.00

-2x/8 = -2.50

Multiplying both sides by 8:

-2x = -20

Dividing both sides by -2:

x = 10

Therefore, the whole pizza cost $10.

To find out how much the whole pizza cost, we need to determine the price of the pizza eaten by each person separately.

Let's assume the cost of the whole pizza is x dollars.

Jake ate 3/8 of the pizza, which means his portion cost 3/8 * x dollars.
Bill ate 5/8 of the pizza, so his portion cost 5/8 * x dollars.

Given that Jake spent $4.00 on french fries and Bill spent $1.50 on a drink, the sum of their bills should be equal.

So we can set up the equation: 3/8 * x + $4.00 = 5/8 * x + $1.50.

To solve the equation:

First, subtract 3/8 * x from both sides:
$4.00 = 5/8 * x - 3/8 * x + $1.50.

Combine like terms:
$4.00 = (5/8 - 3/8) * x + $1.50.

Simplify:
$4.00 = 2/8 * x + $1.50.

Now, subtract $1.50 from both sides:
$4.00 - $1.50 = 2/8 * x.

Simplify:
$2.50 = 1/4 * x.

To find x, the cost of the whole pizza, we need to isolate x. Multiply both sides by 4:
$2.50 * 4 = x.

Simplify:
$10.00 = x.

Therefore, the whole pizza cost $10.00.