Chapter 2: Q. 74 (page 217)

g Kelsey needs $\frac{2}{3}$ cup of sugar for the cookie recipe she wants to make. She only has $\frac{3}{8}$ cup of sugar and will borrow the rest from her neighbor. Let s equal the amount of sugar she will borrow. Solve the equation $\frac{3}{8} + s = \frac{2}{3}$ to find the amount of sugar she should ask to borrow.

Short Answer

Expert verified

$Theamountofsugarsheshouldasktoborrow s = \frac{7}{24}$

Step by step solution

Step 1. Given information

The given equation is $\frac{3}{8} + s = \frac{2}{3}$

She only has 3/8 cup of sugar and will borrow the rest from her neighbor.

We have to find the amount of sugar she should ask to borrow.

Step 2. Explanation

$\begin{array}{l} Solve: \frac{3}{8} + s = \frac{2}{3} \\ \Rightarrow \frac{3}{8} - \frac{3}{8} + s = \frac{2}{3} - \frac{3}{8} (Subtract \frac{3}{8} frombothsides) \\ \Rightarrow s = \frac{2}{3} - \frac{3}{8} (Simplify) \\ \Rightarrow s = \frac{16-9}{24} (TakeLCD) \\ \Rightarrow s = \frac{7}{24} (Simplify) \\ Theamountofsugarsheshouldasktoborrow s = \frac{7}{24} \end{array}$

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g Kelsey needs 23cup of sugar for the cookie recipe she wants to make. She only has 38 cup of sugar and will borrow the rest from her neighbor. Let s equal the amount of sugar she will borrow. Solve the equation 38+s=23to find the amount of sugar she should ask to borrow.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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