Question

PLEASE HELP!!

Dalia buys 20 collectible gems per month. Grace sells 10 gems from her collection of 120 each month. When will Dalia have more gems than Grace? Show your work.

Answer 1

After 5 months

Explanation:

Dalia's buying rate = 20 gems/month

Grace's selling rate = 10 gems/month

Assuming Dalia starts at 0, and grace at 120, we plot a graph of gems against time.

Let:

gems = Y

months = X

Grace's equation is:
`y = -10x+120`

Dalia's equation is:
`y = 20x`

Refer to attached image: so, it takes 5 months.