Cathy bough treats at her local bakery the past two weeks. The first week she bought 6 donuts and 3 muffins and paid $42. The second week she bought 3 donuts and 2 muffins and paid $24. How much does it cost for each donut and each muffin?

Donuts are $4 and Muffins are $6

Step-by-step explanation:

Start by setting up both equations:

6d+3m=42

3d+2m=24

Then multiply the second equation by -2:

-6d-4m=-48

Then subtract the second equation by the first:

6d+3m=42

-6d-4m=-48

The sixes will cancel out and you'll have the equation:

-m=-6 or m=6

This tells you that each muffin is $6

Then you want to plug in six for m in one of the original equations:

3d+2(6)=24

Then solve for d:

3d+12=24

3d=12

d=4

This tells you that each dount is $4

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