Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Write a system of equations represents the situation

A system of equations that represents the situation is:

3x + 2y = 315 Equation 1

2x + 4y = 450 Equation 2

Step-by-step explanation:

Let the number of

Haircuts = x

Hair dyes = y

Hence:

Alexandra finds that she can give:

3 haircuts and 2 hair dyes in 315 minutes.

3x + 2y = 315 Equation 1

Giving 2 haircuts and 4 hair dyes takes 450 minutes

2x + 4y = 450 Equation 2

Therefore:

a system of equations that represents the situation is:

3x + 2y = 315 Equation 1

2x + 4y = 450 Equation 2

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

207/8 is the right