Carrie wanted to make pudding for dessert for her family. However, she couldnt find a recipe that would make 4 servings. She decided to use a recipe for 8 servings and use only 1/2 as much of each ingredient. The recipe for 8 called for 1 1/4 cups of raisins. How many cups of raisins will she need for 4 people? A. 6/8 B. 3/4 C. 2/3 D. 5/8
@perl @Awolflover1 @pooja195 @zepdrix
@GirlgoyleH.
we can make a proportion
okay
You will need 5/8 cups of raisins
I am trying this on paper and I keep messing up
The reason why is because you initially need 5/4, but you are trying to make food for only 4 people so that is half of 8 so just simply divide 5/4 by 2 and you get 5/8.
$$ \LARGE \frac{1 \frac14~ cup ~raisins}{8~ servings} = \frac{x ~cup~raisins}{4 ~ servings} $$
if we use arjund's idea, we have
okay everytime I try this on paper I am getting thus 1 1/4 + 1/8 = 5/4 x 8/1 = 40/4
$$ \\\LARGE \text{since }1 \frac14 = \frac 54 \\ \LARGE \frac{\frac54~ cup ~raisins}{8~ servings} = \frac{\frac{\frac{5}{4}}{\color{red}2} ~cup~raisins}{\frac{8}{\color{red} 2} ~ servings} $$
okay so it 5/8
also you can solve it using a proportion and cross multiplying
okay
$$ \LARGE{\ \frac{\frac54~ cup ~raisins}{8~ servings} = \frac{x ~cup~raisins}{4 ~ servings} \\~\\ \iff \\ \\ 8\cdot x = 4 \cdot \frac 54 \\ \iff \\ 8x = \not 4 \cdot \frac {5}{\not4 } \\ \iff \\ 8x = 5 \\ \iff \\ x = \frac58 } $$
My idea is made from reasoning, perl's is off math. However, both work. it's up to you on what suite you the best.
okay thanks so much
No problem, anything else?
yes but i will be right back got to see what my mom want
ok make new post and tag me
okay
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