Three coffees and two muffins cost a total of 7 dollars. Two coffees and four muffins cost a total of 8 dollars. What is the individual price for a single coffee and a single muffin?

Cost of a coffee = $1.5

Cost of a muffin = $1.25

Step-by-step explanation:

Given:

Cost of 3 coffee and 2 muffins = $7

Cost of 2 coffee and 4 muffins = $8

Find:

Cost of each

Computation:

Assume;

Cost of a coffee = a

Cost of a muffin = b

So,

3a + 2b = 7 Eq1

2a + 4b = 8 Eq2

Eq1 x 2

6a + 4b = 14 Eq3

From Eq3 - Eq2

4a = 6

a = 1.5

Cost of a coffee = $1.5

3a + 2b = 7

3(1.5) + 2b = 7

4.5 + 2b = 7

b = 2.5/2

b = 1.25

Cost of a muffin = $1.25

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