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13.01.2021 •
Mathematics
Cecilia is making cookies for her friends. The recipe, which makes 48 cookies, calls for 4 cups of flour and 1 1/3 cups of sugar. Cecilia adjusts the recipe because she is making 36 cookies. Which statements are correct for this situation? 1. Cecilia uses 1 cup of sugar for 36 cookies. 2. Cecilia uses 3 cups of flour for 36 cookies. 3. Cecilia is making 2/3 of the original recipe. 4. Cecilia is making 3/4 of the original recipe. 5. Cecilia uses 2 2/3 cups of flour for 36 cookies.
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Ответ:
2. Cecilia uses 3 cups of flour for 36 cookies
4. Cecilia is making 3/4 of the original recipe
Step-by-step explanation:
Recipe for 48 cookies
Flour = 4 cups
Sugar = 1 1/3 cups
Recipe for 36 cookies
48 cookies : 36 cookies
= 4 : 3
Flour used in 36 cookies = x cups
Flour used in 48 cookies = 4 cups
4 cups : x cups
4 : 3 = 4 : x
4/3 = 4/x
4*x = 3*4
4x = 12
x = 12/4
x = 3 cups
Sugar = 1 1/3 cups
Sugar used in 36 cookies = y cups
Sugar used in 48 cookies = 1 1/3 cups
4 : 3 = 1 1/3 : y
4/3 = 4/3 ÷ y
4/3 = 4/3 × 1/y
4/3 = 4/3y
4*3y = 3*3
12y = 9
y = 9/12
= 3/4
y = 3/4
The true statement are:
2. Cecilia uses 3 cups of flour for 36 cookies
4. Cecilia is making 3/4 of the original recipe
Ответ:
Mark brainliest please
Hope this helps you