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PSAT/NMSQT
PSAT Math Test - No Calculator Section

Cans Collection Competition

Easy Heart Of Algebra Systems Of Linear Equations

Maria and Daniel are having a friendly competition to collect the most cans for recycling. Maria starts with 5 cans and collects 3 more every day. Daniel starts with 10 cans and collects 2 more every day. They want to find out after how many days they will have the same number of cans.

To solve this, set up the equations for the number of cans collected by Maria and Daniel:

Maria: $$y = 5 + 3d$$

Daniel: $$y = 10 + 2d$$

Where $$d$$ represents the number of days. How many days will it take for them to have the same number of cans?

Hint

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