Respuesta :
Answer:
1340 chocolate cupcake and 860 velvet cupcake were sold. Step-by-step 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:
[tex]x + y = 2200[/tex]
Cost of chocolate cupcake = $2.25
Cost of velvet cupcake = $1.75
Total cost = $4520
Thus, we can write the equation:
[tex]2.25x + 1.75y = 4520[/tex]
Solving the two equation by substitution, we have,
[tex]2.25x + 1.75(2200-x) = 4520\\(2.25-1.75)x + 3850 = 4520\\0.5x = 670\\x = 1340\\y = 2200 - 1340 =860[/tex]
Thus, 1340 chocolate cupcake and 860 velvet cupcake were sold.
Answer: 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
