How much is the share?

Algebra Level 2

$1500 is to be divided to Marvin, Sky and Lord. Sky will receive $500 more than Lord. Marvin will receive $200 more than Sky. How much does Lord receive?

$150 $200 $300 $100

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1 solution

Let M , S M,S and L L , be the shares of M a r v i n , S k y Marvin, Sky and L o r d Lord , respectively. Then

S = 500 + L S=500+L ( 1 ) \color{#D61F06}(1)

M = 200 + S = 200 + 500 + L = 700 + L M=200+S=200+500+L=700+L ( 2 ) \color{#D61F06}(2)

We know that,

S + M + L = 1500 S+M+L=1500

Plug in ( 1 ) \color{#D61F06}(1) and ( 2 ) \color{#D61F06}(2) in the above equation. We have

500 + L + 700 + L + L = 1500 500+L+700+L+L=1500

1200 + 3 L = 1500 1200+3L=1500

3 L = 300 3L=300

L = 100 \boxed{L=100}

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