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krek1111 [17]
3 years ago
13

Mary has a third of the money that Erin has. Erin has $8 less than John. Together they have $267. How much money does each of th

em have?
Mathematics
2 answers:
crimeas [40]3 years ago
6 0

Answer:

John has $119 Erin has $111 Mary has $37

Step-by-step explanation:

Consider the provided information.

Let John has x dollar.

Erin has $8 less than John = x-8

Mary has a third of the money that Erin has = 1/3(x-8)

Together they have $267.

x+x-8+\frac{1}{3}(x-8)=267

2x+\frac{1}{3}\times x-\frac{1}{3}\times 8=267+8

2x+\frac{x}{3}-\frac{8}{3}=275

Multiply both sides by 3.

6x+x-8=825

7x=825+8

7x=833

x=119

Thus, John has $119

Erin has $8 less than John = $119-$8 = $111

Mary has a third of the money that Erin has = 1/3($119-$8) = $37

svet-max [94.6K]3 years ago
5 0

Mary = (1/3)x

Erin = x - 8

John = x

Here is your equation:

(1/3)x + (x - 8) + x = 267

Take it from here.

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