Gio baked 21 cupcakes for the holiday sale. He made some with vanilla icing, and some with mint-chip icing. He charged $2 for th

Question

3 years ago

13

Gio baked 21 cupcakes for the holiday sale. He made some with vanilla icing, and some with mint-chip icing. He charged $2 for th

e vanilla cupcakes, and $4 for the mint-chip cupcakes and made $54. How many of each did he make? He created the following system of equations to find out how many of each he made. Let x represent the number of vanilla cupcakes, and y represent the number of mint-chip cupcakes.
x+y=21

2x+4y=54

Mathematics

2 answers:

Marat540 [252] · Answer 1 · 2022-06-30T13:18:45+03:00

Marat540 [252]3 years ago

8 0

15 vanilla and 6 mint chip

$2(15) + $4(6) = $54

anyanavicka [17] · Answer 2 · 2022-06-30T14:36:50+03:00

Answer: 15 vanilla and 6 mint

Step-by-step explanation:

You would solve for x and get x=21-y and then plug that into the next equation and get 2(21-y)+4y = 54.

You would then solve for y.

42-2y + 4y = 54

42+2y =54

Then subtract 42 from both sides.

2y = 12, and then divide by 2.

You get y=6.

Then we know we sold 21 cupcakes so

21-6=x

15=x