Lila 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.a. How many gallons of honey did Lila collect in all? Draw a diagram to support your answer.b. 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? Support your answer using a diagram, numbers, and words.c. With the remaining 3/4 gallon of honey, Lila decided to bake some loaves of bread and several batches of cookies for her school bake sale. The bread needed 1/6 gallon of honey and the cookies needed 1/4 gallon. How much honey was left over? Support your answer using a diagram, numbers, and words.d. Lila decided to make more baked goods for the bake sale. She used 1/8 lb less flour to make bread than to make cookies. She used 1/4 lb more flour to make cookies than to make brownies. If she used 1/2 lb of flour to make the bread, how much flour did she use to make the brownies? Explain your answer using a diagram, numbers, and words.

Answer:a). Lila collected 7/6 gallon in all.b). She used for baking 5/12 gallon.c) was left 1/3 gallon of honeyD) She used 3/8lb flour to make the brownies.Step-by-step explanation:a). Lila collected 7/6 gallon in all.[tex]\frac{2}{3} +\frac{1}{4} +\frac{1}{4} \\[/tex]LCM=3*4=12[tex]\frac{8+3+3}{12}=14/12=7/6[/tex]b). She used for baking 5/12 gallon.She had 7/6 gallon of honey. She used 3/4 gallon for baking. To know how much honey was left, you have to substract 3/4 gallon from the total available honey 7/6 gallon.[tex]\frac{7}{6}-\frac{3}{4}[/tex]You need to find LCM to substract fractions with different denominator:LCM=12[tex]\frac{14-9}{12}=\frac{5}{12}[/tex]c) was left 1/3 gallon of honeyTo know how much honey was left you need to substract from the initial quantity of honey that is 3/4 gallon, the quantities used for baking, that are 1/6 gallon and 1/4 gallon.Less common multiple: 12[tex]\frac{3}{4}-\frac{1}{6} -\frac{1}{4}[/tex]We use LCM 12 to substract:[tex]\frac{9-2-3}{12}=\frac{4}{12} =\frac{1}{3}[/tex]D) She used 3/8lb flour to make the brownies.You know she used 1/2 lb flour to make the bread and to make cookies 1/8 more. So you need to do following math:d)[tex]\frac{1}{2} +\frac{1}{8} =\frac{4+1}{8} =\frac{5}{8}[/tex]She used 5/8 to make cookies and she used 1/4 more to make cookies than brownies, then you have to do following math;[tex]\frac{5}{8}-\frac{1}{4}=\frac{5-2}{8}=\frac{3}{8}[/tex]