Question

A cupcake store sells $4520 worth of cupcakes a day. The chocolate cupcakes cost $2.25 each and the red velvet cupcakes cost $1.75 each. If the total number of cupcakes sold per day is 2,200, how many of each flavor are sold each day?

Answer 1

Answer: 1340 chocolate cupcakes and 860 red velvet cupcakes are sold each day.

Explanation:

Let x represent the number of chocolate cupcakes that are sold each day.

Let y represent the number of red velvet cupcakes that are sold each day.

If the total number of cupcakes sold per day is 2,200, it means that

x + y = 2200

The chocolate cupcakes cost $2.25 each and the red velvet cupcakes cost $1.75 each. The cupcake store sells $4520 worth of cupcakes a day. This means that

2.25x + 1.75y = 4520 - - - - - - - - - - -1

Substituting x = 2200 - y into equation 1, it becomes

2.25(2200 - y) + 1.75y = 4520

4950 - 2.25y + 1.75y = 4520

- 2.25y + 1.75y = 4520 - 4950

- 0.5y = - 430

y = - 430/- 0.5

y = 860

x = 2200 - y = 2200 - 860

x = 1340

Answer 2

1340 chocolate cupcake and 860 velvet cupcake were sold. Explanation:

We are given the following in the question:

Let x be the number of chocolate cupcakes and y be the number of velvet cupcakes.

Total number of cupcakes = 2,200

Thus, we can write the equation:

`x + y = 2200`

Cost of chocolate cupcake = $2.25

Cost of velvet cupcake = $1.75

Total cost = $4520

Thus, we can write the equation:

`2.25x + 1.75y = 4520`

Solving the two equation by substitution, we have,

`2.25x + 1.75(2200-x) = 4520\\(2.25-1.75)x + 3850 = 4520\\0.5x = 670\\x = 1340\\y = 2200 - 1340 =860`

Thus, 1340 chocolate cupcake and 860 velvet cupcake were sold.