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?

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

Step-by-step 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

555.99.

step-by-step explanation:

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step-by-step explanation: