Question

Person A buys 12 granola bars and 7 cups of yogurt for $15.50, and Person B buys 6 granola bars and 11 cups of yogurt for $11.50. Let's use

x to represent the cost of a granola bar and y to represent the cost of a cup of yogurt.

What is the cost of one granola bar?
a) $1.00
b) $0.50
c) $2.00
d) $1.25

What is the cost of one cup of yogurt?
a) $1.50
b) $2.00
c) $1.00
d) $1.25

Which person spent more per granola bar on average?
a) Person A
b) Person B
c) Both spent the same
d) Cannot be determined

What is the total cost of 15 granola bars and 8 cups of yogurt?
a) $20.50
b) $23.00
c) $19.75
d) $18.00

Answer 1

To find the cost of one granola bar and one cup of yogurt, set up a system of equations using the given information. Solve the equations to find the cost of one granola bar and one cup of yogurt. Use the values to find the total cost of 15 granola bars and 8 cups of yogurt.

Step-by-step explanation:

To find the cost of one granola bar and one cup of yogurt, we will set up a system of equations using the given information.

Let x represent the cost of one granola bar and y represent the cost of one cup of yogurt.

From Person A's purchase: 12x + 7y = 15.50

From Person B's purchase: 6x + 11y = 11.50

To solve these equations, we can use either substitution or elimination method.

By solving these equations, we find that the cost of one granola bar is $0.50 (option b) and the cost of one cup of yogurt is $1.00 (option c).

To find the total cost of 15 granola bars and 8 cups of yogurt, we can substitute the values of x and y into the equation 15x + 8y.

Using the values we found, the total cost is $12.50 (option c).