High School

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Cary made 320 cakes for her bakery. She made 7 times as many carrot cakes as red velvet cakes. How many of each type of cake did she make?

Answer :

Final answer:

Cary's bakery made 40 red velvet cakes and 280 carrot cakes. This was determined by setting the number of red velvet cakes as x, leading to 7x for carrot cakes, and solving for x in the equation x + 7x = 320.

Explanation:

The student asked how many carrot cakes and red velvet cakes Cary's made, given that she made a total of 320 cakes and 7 times as many carrot cakes as red velvet cakes. To solve this, we let the number of red velvet cakes be x. Therefore, the number of carrot cakes would be 7x since it's seven times the number of red velvet cakes. We can set up the equation:

x + 7x = 320

Solving for x gives:

8x = 320

x = 40

Hence, Cary's made 40 red velvet cakes and 7 * 40 = 280 carrot cakes.

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