Answered

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 :

Answer: after 5 months

Step-by-step explanation:

Let x be the number of months it takes for Dalia to have more gems than Grace.

We can set up an inequality; the left side representing Dalia and the right side representing Grace

20x > 120-10x

We can add 10x to both sides:

30x > 120

We can divide both sides by 30:

x > 4

Therefore, after 5 months Dalia will have more gems than Grace.

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