The cost of 8 muffins and 2 quarts of mil is $18. the cost of 3 muffins and 1 quart of milk is $7.50 hos much does 1 muffin and 1 quart of milk cost ?

The cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .

Step-by-step explanation:

Let us assume that the cost of one muffins be x.

Let us assume that the cost of one 1 quarts of milk be y.

As given

The cost of 8 muffins and 2 quarts of mil is $18.

Than the equation becomes

8x + 2y = 18

As given

The cost of 3 muffins and 1 quart of milk is $7.50.

Than the equation becomes

3x + 1y = 7.50

Two equations are

8x + 2y = 18  and 3x + 1y = 7.50

Multiply  3x + 1y = 7.50 by 2 and subtracted from 8x + 2y = 18 .

Thus

8x - 6x + 2y - 2y = 18 - 15

2x  =  3

x = 1.5

Put x = 1.5 in 3x + 1y = 7.50

3 × 1.5 + y = 7.50

y = 7.50 - 4.5

y = 3

Therefore the cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .