Amanda baked 64 cookies with 8 scoops of flour. With 12 scoops of flour, how many cookies can Amanda bake? Solve using unit rates.

5 answers

To solve this problem using unit rates, we can set up a proportion.

Since the number of cookies is directly proportional to the amount of flour used, we can write the following ratio:

8 scoops of flour/64 cookies = 12 scoops of flour/x cookies

To find the value of x, we can cross-multiply and solve for x.

8x = 64 * 12
8x = 768

Dividing both sides of the equation by 8, we get:

x = 768/8 = 96

Therefore, Amanda can bake 96 cookies with 12 scoops of flour.
Brett read a total of 15 books over 3 months. If Brett has read 95 books so far, how many months has he been with his book club? Solve using unit rates.
To solve this problem using unit rates, we can set up a proportion.

Since the number of books is directly proportional to the number of months, we can write the following ratio:

15 books/3 months = 95 books/x months

To find the value of x, we can cross-multiply and solve for x.

15x = 3 * 95
15x = 285

Dividing both sides of the equation by 15, we get:

x = 285/15 = 19

Therefore, Brett has been with his book club for 19 months.
Rose baked 90 cookies with 5 scoops of flour. With 6 scoops of flour, how many cookies can Rose bake? Solve using unit rates.
To solve this problem using unit rates, we can set up a proportion.

Since the number of cookies is directly proportional to the amount of flour used, we can write the following ratio:

5 scoops of flour/90 cookies = 6 scoops of flour/x cookies

To find the value of x, we can cross-multiply and solve for x.

5x = 90 * 6
5x = 540

Dividing both sides of the equation by 5, we get:

x = 540/5 = 108

Therefore, Rose can bake 108 cookies with 6 scoops of flour.