At the calendar shop, wall calendars cost $8 and desk calendars cost $10. Wyatt spent $218 to buy 25 calendars. How many of each type of calendar did Wyatt buy?
Question
At the calendar shop, wall calendars cost 10. Wyatt spent $218 to buy 25 calendars. How many of each type of calendar did Wyatt buy?
Solution
Let's denote the number of wall calendars as W and the number of desk calendars as D.
From the problem, we have two equations:
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W + D = 25 (since Wyatt bought 25 calendars in total)
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8W + 10D = 218 (since Wyatt spent $218 in total)
We can solve this system of equations step by step:
Step 1: Multiply the first equation by 8: 8W + 8D = 200
Step 2: Subtract the new equation from the second equation: 2D = 18
Step 3: Solve for D: D = 9
Step 4: Substitute D = 9 into the first equation: W + 9 = 25
Step 5: Solve for W: W = 16
So, Wyatt bought 16 wall calendars and 9 desk calendars.
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