Mathematics, 27.08.2019 01:20 Arellano2373

Three sisters run a landscaping business. they charge
$260 for each job. if the oldest sister earns 50
percent more than the middle sister, and if the
youngest sister earns 50 percent less than the oldest
sister, how much does each sister earn per job?
! urgent. these are worth 60% of my grade

Answers: 2

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Answers

Answer from: fgcherubin

The amount of money the oldest sister earns per job is $120

The amount of money the middle sister earns per job is $80

The amount of money the youngest sister earns per job is $60

Step-by-step explanation:

Let

x -----> amount of money the oldest sister earns per job

y -----> amount of money the middle sister earns per job

z -----> amount of money the youngest sister earns per job

we know that

50 percent more means ----> 100%+50%=150%=150/100=1.50

50 percent less means ----> 100%-50%=50%=50/100=0.50

x+y+z=260 -----> equation A

x=1.50y -----> y=x/1.5 ----> y=(2/3)x -----> equation B

z=0.50x -----> equation C

substitute equation B and equation C in equation A and solve for x

x+(2/3)x+0.50x=260

Multiply by 6 both sides to remove the fraction

(6x+4x+3x)=(6)260

$13x=1,560\\x=120$

Find the value of y

y=(2/3)x -----> y=(2/3)120=80

Find the value of z

z=0.50x ----> z=0.50(120)=60

therefore

The amount of money the oldest sister earns per job is $120

The amount of money the middle sister earns per job is $80

The amount of money the youngest sister earns per job is $60

Answer from: mandi795

The oldest sister earns $120.

The middle sister earns $80.

The youngest sister earns $60.

Step-by-step explanation:

Three sisters run a landscaping business. They charge $260 for each job. If the oldest sister earns 50 percent more than the middle sister, and if the youngest sister earns 50 percent less than the oldest sister, the oldest sister earns $120, the middle sister earns $80, and the youngest sister earns $60.

Answer from: Quest

see explanation

step-by-step explanation:

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

remove brackets and collect like terms

13 - $\frac{3}{2}$ r - 1 + r

= 12 - $\frac{1}{2}$ r

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

remove brackets and collect like terms

= 7r - $\frac{3}{2}$ - $\frac{2}{3}$ - 6r

[- $\frac{3}{2}$ - $\frac{2}{3}$ = - $\frac{9}{6}$ - $\frac{4}{6}$ = - $\frac{13}{6}$ ]

= r - $\frac{13}{6}$

Answer from: Quest

x coordinate is none

step-by-step explanation:

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Three sisters run a landscaping business. they charge
$260 for each job. if the oldest sister...