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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.

Respuesta :

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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