Honey

Ila collected the honey from 3 of her beehives. From the first hive, she collected 2/3 gallons 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 answer:

x =  0.4167

Step-by-step explanation:

$$\begin{gathered} t=\frac{2}{3}+\frac{1}{4}+\frac{1}{4}=\frac{8}{12}+\frac{3}{12}+\frac{3}{12}=\frac{8+3+3}{12}=\frac{14}{12}=\frac{7}{6}=1\frac{1}{6}\doteq 1.1667\text{gal} \\ t=x+\frac{3}{4} \\ x=t-\frac{3}{4}=\frac{7}{6}-\frac{3}{4}=\frac{14}{12}-\frac{9}{12}=\frac{14-9}{12}=\frac{5}{12}=0.4167 \end{gathered}$$

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