Question

Last week Angela went grocery shopping and bought 3 boxes of Crunchy O's cereal and 2 gallons of milk for a total of $16.65. This week at the same prices, she bought 2 boxes of the same Crunchy O's cereal and 1 gallon of milk for $9.77.

A) $5.88

B) $6.88

C) $4.88

D) $7.88

Answer 1

To determine the cost of one box of Crunchy O's cereal, we can set up and solve a system of equations using the given information.

Step-by-step explanation:

To solve this problem, we can set up a system of equations using the given information. Let's use x to represent the cost of one box of Crunchy O's cereal and y to represent the cost of one gallon of milk.

From the first week's purchase, we can write the equation: 3x + 2y = 16.65.

From the second week's purchase, we can write the equation: 2x + y = 9.77. Now we can solve this system of equations to find the values of x and y, which will allow us to determine the cost of one box of cereal.

Solving the system of equations, we find that x = 3.88 and y = 3.02. The cost of one box of Crunchy O's cereal is $3.88.

Therefore, the answer is D) $7.88.