Mmm, banana bread

Algebra Level 2

Hector's banana bread recipe requires $2 \frac {3}{4}$ cups of flour, and he has already added $\frac {2}{3}$ cups of flour. The amount of flour Hector still needs to add, can be written as $\frac {a}{b}$ , where $a$ and $b$ are coprime positive integers. What is the value of $a+b$ ?

The answer is 37.

1 solution

Arron Kau Staff
May 13, 2014

To find the difference between the amount of flour Hector has already added and the amount the recipe calls for, subtract $\frac {2}{3}$ from $4 \frac {3}{4}$ :

$\begin{aligned} 4\frac {3}{4} - \frac {2}{3} &= \frac {19}{4} - \frac {2}{3} \\ &= \frac {19}{4} \times \frac {3}{3} - \frac {2}{3} \times \frac {4}{4} \\ &= \frac {57}{12} - \frac {8}{12} \\ &= \frac {49}{12} \\ \end{aligned}$

Hence $a+b = 49 + 12 = 61$ .

Mmm, banana bread

The answer is 37.

1 solution

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