Question

Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix and y bottles of water. They bought a total of 11 items. How many bags of snack mix did they buy?

Answer 1

6 bags of snack mix

Explanation:

x bags of snack mix

y bottles of water

The equations in the question is given as;

20.00 = 2.50x + 1.00y (i)

11 = x + y (ii)

From eqn (ii);

11 - y = x

substitute the value of x in eqn (i);

20.00 = 2.50(11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y

20.00 - 27.5 = - 1.50 y

- 7.5 = - 1.50 y

y = - 7.5 / (- 1.5) = 5

Since we are interested in the value of x. Substitute the value of y in eqn (ii);

11 = x + 5

x = 11 - 5 = 6