Question

a cookie recipe uses 6 cups of brown sugar for every 9 cups of white sugar. How many cups of brown sugar is needed if I use 24 cups of white sugar

Answer 1

So, you'll need 16 cups of brown sugar if you use 24 cups of white sugar.

Explanation:

The ratio of cups of brown sugar to cups of white sugar is:

6:9.

24/x = 9/15

Cross Multiply:

24 * 15 = 360

9 * x = 9x

So, divide;

360/9x = 40

9x/9x = x

x = 40

SO, 24:40 = 9:15

40(Total amount of sugar) - 24(White sugar itself) = 16 cups of brown sugar.

So, you'll need 16 cups of brown sugar if you use 24 cups of white sugar.

Answer 2

Explanation:

You can create a ratio from the provided recipe,

for every 6 cups of brown sugar you need 9 cups of white sugar so it would be 6:9

?:24

24/9=2.6

6x2.6=15.6

so for 24 cups of white sugar you would need about 16 cups of brown sugar.