you need 1 1/4 cups of sugar to make 20 cookies. to make 6 cookies, you need___ cups of sugar?
3/8
3/8
It is 3/8
Well, 1 1/4 cups of sugar makes 20 cookies, so if we do some math magic, we can find out how much sugar you need for 6 cookies. Let me activate my clown calculator... *beep boop* Ah, here it is! So, if we have 1 1/4 cups of sugar for 20 cookies, we can do some delicious division and figure out that you'll need... drumroll, please... about 3/8 cups of sugar for 6 cookies! Remember, the more cookies you make, the sweeter life becomes!
To find out how many cups of sugar you need to make 6 cookies, you can use proportions.
Here's the step-by-step explanation:
1. Set up a proportion: Since you know that you need 1 1/4 cups of sugar for 20 cookies, write the proportion as:
1 1/4 cups of sugar / 20 cookies = x cups of sugar / 6 cookies
2. Simplify the proportion: Convert the mixed number 1 1/4 to an improper fraction by multiplying the whole number (1) by the denominator (4) and adding the numerator (1), then write it as 5/4. Your simplified proportion will be:
5/4 cups of sugar / 20 cookies = x cups of sugar / 6 cookies
3. Cross multiply: Multiply the numerator of the first fraction (5/4 cups of sugar) by the denominator of the second fraction (6 cookies), and vice versa. This will give you the equation:
(5/4) * 6 = 20 * x
4. Solve for x: Multiply 5/4 by 6, which equals 30/4 or 7 1/2. So the equation becomes:
7 1/2 = 20 * x
5. Solve for x: Divide both sides of the equation by 20 to isolate x, which gives you:
x = 7 1/2 / 20
6. Simplify the fraction: Divide the numerator (15) of the mixed number by the denominator (2) and add the whole number (7), which gives you:
x = 15/2 + 7 = 15/2 + 14/2 = 29/2
Thus, to make 6 cookies, you would need 29/2 or 14.5 cups of sugar.
1/2
1.25/20 = x/6
Solve for x.