Quinn, Rhonda and Sue shared 3/4 of a whole pizza. Quinn was hungrier than Rhonda and ate twice as much as Rhonda did. Sue ate 3/4 as much as Rhonda . What part of the whole pizza did each person eat?

Quinn ate 2/5, Rhonda ate 1/5 and Sue ate 3/20 of the pizza

Step-by-step explanation:

Let the amount Quinn ate be q.

Let the amount Rhonda ate be r.

Let the amount sue ate be s.

Quinn, Rhonda and Sue shared 3/4 of a whole pizza. This means that:

q + r + s = 3/4 (1)

Quinn ate twice as much as Rhonda did. This means that:

q = 2r (2)

Sue ate 3/4 as much as Rhonda. This means that:

s = 3/4 * r = 3r / 4 (3)

Put (2) and (3) back in (1):

2r + r + 3r/4 = 3/4

=> 15r/4 = 3/4

=> r = (3 / 4) * (4 / 15)

r = 1/5

Put the value of r in (2) and (3), we have:

q = 2 * 1/5 = 2/5

and

s = 3/4 * 1/5 = 3/20

Therefore, Quinn ate 2/5, Rhonda ate 1/5 and Sue ate 3/20 of the pizza.

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

related questions

stop cheating

step-by-step explanation: