Question

Adrian and his children went into a bakery and where they sell donuts for $1.50 each and brownies for $2.50 each. Adrian has $40 to spend and must buy a minimum of 20 donuts and brownies altogether. If x represents the number of donuts purchased and y represents the number of brownies purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

10 donuts and 10 brownies

Explanation:

In this case we must solve the system of equations that do not say in the statement:

at least 20 must be, therefore:

x + y = 20 => x = 20 - y

1.5 * x + 2.5 * y = 40

replacing:

1.5 * (20 - y) + 2.5 * y = 40

30 - 1.5 * y + 2.5 * y = 40

y = 40 - 30

y = 10

now for x:

x = 20 - 10

x = 10

therefore, to be a minimum of 20, they must be 10 donuts and 10 brownies