Honey

Ila collected the honey from 3 of her beehives. From the first hive she collected 2/3 gallon of honey. The last two hives yielded 1/4 gallon each. After using some of the honey she collected for baking, Lila found that she only had 3/4 gallon of honey left. How much honey did she use for baking. Lila used ____ gallons for baking.

Correct result:

x =  0.4167

Solution:

$$\begin{gathered} t={\displaystyle \frac{2}{3}}+{\displaystyle \frac{1}{4}}+{\displaystyle \frac{1}{4}}={\displaystyle \frac{7}{6}}=1\frac{1}{6}\doteq 1.1667\text{ gal } \\ t=x+{\displaystyle \frac{3}{4}} \\ x=t-{\displaystyle \frac{3}{4}}=1.1667-{\displaystyle \frac{3}{4}}={\displaystyle \frac{5}{12}}=0.4167 \end{gathered}$$

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