Cody has 22 rare coins. Each year Clark plans to add 15 coins to his collection. How many years will it take Cody to collect 577 coins?

6 answers

Clark has to add 577 coins which is 577 - 22 = <<577-22=555>>555 coins
Clark needs 555 / 15 = <<555/15=37>>37 years to complete his collection. Answer: \boxed{37}.
can you explain it step by step
Certainly! Here's a step-by-step explanation:

1. Let's assume it takes "x" years for Cody to collect 577 coins.

2. After "x" years, Cody will have 22 + 15x coins. This is because Cody starts with 22 coins and adds 15 coins every year.

3. Setting up the equation: 22 + 15x = 577.

4. Subtract 22 from both sides of the equation to isolate the term with "x": 15x = 577 - 22.

5. Simplify the right side: 15x = 555.

6. Divide both sides of the equation by 15 to solve for "x": x = 555 ÷ 15.

7. Using long division or a calculator, you will find that x ≈ 37.

Therefore, it will take approximately 37 years for Cody to collect 577 coins.
Tom is given the equation 10x+15=20 to solve. He says the solution is 12 . Which reason justifies his solution?
Tom is given the equation 10x+15=20 to solve. He says the solution is 12 . Which reason justifies his solution?

1. Tom says that to solve the equation you first divide by 10 and then subtract 15.
2. Tom says that to solve the equation you first subtract 15 and then multiply by 10.
3. Tom says that to solve the equation you first add 15 and then divide by 10.
4. Tom says that to solve the equation you first subtract 15 and then divide by 10.
Tom is given the equation 10x+15=20 to solve. He says the solution is 1/2 . Which reason justifies his solution?

1. Tom says that to solve the equation you first divide by 10 and then subtract 15.
2. Tom says that to solve the equation you first subtract 15 and then multiply by 10.
3. Tom says that to solve the equation you first add 15 and then divide by 10.
4. Tom says that to solve the equation you first subtract 15 and then divide by 10.