Question

Larry, Moe and Curly decided to buy their mom a mes computer. They cost of the computer was $1056.00. The three of them usted there savings to pay for it. Larry paid $150.00 more than Moe. Moe paid $237.00 less than Curly. How much did Moe pay?

Answer 1

Moe paid $223 for buying computer.

Step-by-step explanation:

Given,

Cost of computer = $1056.00

Let,

Amount contributed by Larry = x

Amount contributed by Moe = y

Amount contributed by Curly = z

According to given statement;

x+y+z=1056      Eqn 1

x=y+150            Eqn 2

y=z-237            Eqn 3

Putting value of y from Eqn 3 in Eqn 2

$x=(z-237)+150\\x=z-237+150\\x=z-87\ \ \ Eqn\ 4$

Putting value of xx and y from Eqn 3 and 4 in Eqn 1

$(z-87)+(z-237)+z=1056\\z-87+z-237+z=1056\\3z-324=1056\\3z=1056+324\\3z=1380$

Dividing both sides by 3

$\frac{3z}{3}=\frac{1380}{3}\\z=460$

Putting z=460 in Eqn 3

$y=460-237\\y=223$

Moe paid $223 for buying computer.

Keywords: linear equation substitution method

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