Question

Cynthia, Annie, and Suz went to Pepe's pizza palace for dinner. They shared a large pizza and each girl ordered? A soda. When the bill came they talked about how to slit it up. Annie, you had 3 slices and a medium soda so you should pay one-third of the bill. I'll chip in a dollar more than that, replied Annie.And since you had only 2 slices and also ordered a small soda, you should pay 20% of the bill.Cynthia said I ate 3 slices and had a large soda so I'll pay the remaining $8.80. How much was the total bill for the pizza and th 3 sodas and how much did each girl pay.

Answer 1

The total bill = $20.85

Annie = $7.95

Suz = $4.17

Cynthia = $8.80

Explanation:

Let the total bill = $x

For Annie

Annie, you had 3 slices and a medium soda so you should pay one-third of the bill. I'll chip in a dollar more than that, replied Annie.

Annie = 1/3 of x + $1

= 0.33x + $1

For Suz

And since you had only 2 slices and also ordered a small soda, you should pay 20% of the bill.

20% of x = 1/5x

= 0.2x

Cynthia said I ate 3 slices and had a large soda so I'll pay the remaining $8.80.

0.33x + $1 + 0.2 x + $8.80 = $x

Collect like terms

$1 + $8.80 = x - 0.33x - 0.2x

$9.80 = x - 0.53x

$9.80 = 0.47x

x = $9.80/0.47

x = $20.85106383

≈ $20.85

Therefore,

For Annie,

The total amount she is paying is

0.33x + $1

= 0.33 × $20.85 + $1

= $6.95 + $1

= $7.96

For Suz

= 0.2x

= 0.2 × $20.85

= $4.17

For Cynthia

= $8.80