Question

Carlos, Molly, and Simon shared $100. Molly received 3 times as much as Simon. Carlos received twice as much money as Molly.

A) How much money did Simon receive?
a) $10
b) $20
c) $30
d) $40

Answer 1

Simon received $10 after we solved the system of equations that described how Carlos, Molly, and Simon shared the $100 and the relative amounts they each received.

Step-by-step explanation:

The question asks us to find out how much money Simon received if Carlos, Molly, and Simon shared $100, Molly received 3 times as much as Simon, and Carlos received twice as much as Molly. Let's denote Simon's amount as S, Molly's as M, and Carlos's as C. Using the information given, we can set up the following equations:

• M = 3S (Molly received 3 times as much as Simon)
• C = 2M (Carlos received twice as much money as Molly)
• S + M + C = $100 (Together, they shared $100)

Substituting the first equation into the second, we have C = 2(3S) = 6S. Now we have S + 3S + 6S = $100 which simplifies to 10S = $100. Solving for S gives us S = $100 / 10 = $10. Therefore, Simon received $10.