18. Alex needs $$ 5 \frac{1}{3} $$ cups of ginger ale to make punch for a group of her friends. She has only $$ 2 \frac{1}{2} $$ cups. Write an equation to represent how many more cups of ginger ale Alex needs. Then solve. Select the correct equation that represents the problem. A. $$ c=2 \frac{1}{2}+5 \frac{1}{3} $$ B. $$ 2 \frac{1}{2}=5 \frac{1}{3}+c $$ C. $$ 2 \frac{1}{2}-c=5 \frac{1}{3} $$ How many more cups does Alex need? $$ 2 \frac{1}{2}+\mathrm{c}=5 \frac{1}{3} $$ Alex needs $$ \square $$ more cup(s) of ginger ale. (Type a whole number, fraction, or mixed number.) View an example $$ \quad $$ Video Get more help -

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UpStudy AI · Accepted Answer

To find out how many more cups of ginger ale Alex needs, we need to set up an equation that represents the situation.

Let $$ c $$ be the number of cups of ginger ale Alex needs to make punch for her friends.

Given:
- Alex needs $$ 5 \frac{1}{3} $$ cups of ginger ale.
- Alex has $$ 2 \frac{1}{2} $$ cups of ginger ale.

The equation to represent how many more cups of ginger ale Alex needs is:
$$ 2 \frac{1}{2} + c = 5 \frac{1}{3} $$

Now, we need to solve this equation to find out how many more cups of ginger ale Alex needs.

Let's solve the equation step by step.
Solve the equation by following steps:
- step0: Solve for $$c$$:
  $$2\frac{1}{2}+c=5\frac{1}{3}$$
- step1: Convert the expressions:
  $$\frac{5}{2}+c=\frac{16}{3}$$
- step2: Move the constant to the right side:
  $$c=\frac{16}{3}-\frac{5}{2}$$
- step3: Subtract the numbers:
  $$c=\frac{17}{6}$$
The solution to the equation $$2 \frac{1}{2} + c = 5 \frac{1}{3}$$ is $$c = \frac{17}{6}$$ or $$c = 2.8\dot{3}$$.

Therefore, Alex needs $$2.8\dot{3}$$ more cups of ginger ale.
Alex needs $$2 \frac{5}{6}$$ more cups of ginger ale.

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