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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To find out how many more cups of ginger ale Alex needs, we can set up the equation \( c = 5 \frac{1}{3} - 2 \frac{1}{2} \). This means we’re subtracting the amount Alex already has from the amount she needs. After converting the mixed numbers into improper fractions, we find that \( 5 \frac{1}{3} \) equals \( \frac{16}{3} \) and \( 2 \frac{1}{2} \) equals \( \frac{5}{2} \). When we subtract these, Alex needs \( \frac{7}{6} \) more cups of ginger ale, which is the same as \( 1 \frac{1}{6} \) cups! Math has been used throughout history for food and drink preparation! Imagine a medieval feast; cooks needed accurate measurements to mix the right flavors in their beverages! Whether it was for royal parties or local banquets, knowing how to measure ingredients precisely was crucial for successful dishes and potions. So, every time you mix a drink, remember you're part of a grand tradition of culinary magic!
