Question

Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Part A: Write an equation where the solution represents the amount of money (x), in dollars, Craig has after Michael buys the hat. Explain how you came to this equation. Part B: Now, Craig buys some socks. He has $16 left. Write an equation where the solution represents the amount of money (y), in dollars Craig spent on socks. Show how you know this is the correct equation.

Answer 1

a) x + 4 = 48

b) y + 16 = 44

Explanation:

a) Michael has $28 and Craig has $24 less than Michael. Let x represent the amount of money that Craig has. Hence:

x = 68 - 24

x + 24 = 68

Given that Michael spends $20 on a new hat. Therefore we subtract 30 from both sides of the equation:

x + 24 - 20 = 68 - 20

x + 4 = 48

x = $44

b) If y represent the amount of money that Craig spent on buying socks. He has 16 remaining.

Therefore:

44 - y = 16

y + 16 = 44

y = $28