Question

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 1

Answer:

a). Lila collected 7/6 gallon in all.

b). She used for baking 5/12 gallon.

c) was left 1/3 gallon of honey

D) She used 3/8lb flour to make the brownies.

Step-by-step explanation:

a). Lila collected 7/6 gallon in all.

$\frac{2}{3} +\frac{1}{4} +\frac{1}{4}$

LCM=3*4=12

$\frac{8+3+3}{12}=14/12=7/6$

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.

$\frac{7}{6}-\frac{3}{4}$

You need to find LCM to substract fractions with different denominator:

LCM=12

$\frac{14-9}{12}=\frac{5}{12}$

c) was left 1/3 gallon of honey

To 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

$\frac{3}{4}-\frac{1}{6} -\frac{1}{4}$

We use LCM 12 to substract:

$\frac{9-2-3}{12}=\frac{4}{12} =\frac{1}{3}$

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)$\frac{1}{2} +\frac{1}{8} =\frac{4+1}{8} =\frac{5}{8}$

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;

$\frac{5}{8}-\frac{1}{4}=\frac{5-2}{8}=\frac{3}{8}$

Answer 2

The total amount of honey in gallons did Lila collect is 7/6 gallons, the amount of honey in gallons she uses for baking is 5/12 gallons, the honey left after baking some loaves of bread and several batches of cookies is 1/3 gallons, and 3/8 lb of flour she uses to make the brownies.

Given :

• Lila 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 gallons each.

A) Total amount of honey in gallons did Lila collect in all:

$=\dfrac{2}{3}+2\times \dfrac{1}{4}$

$\rm =\dfrac{7}{6}\;gallons$

B) The amount of honey in gallons she uses for baking will be:

$= \dfrac{7}{6}-\dfrac{3}{4}$

$\rm =\dfrac{14-9}{12}=\dfrac{5}{12}\; gallons$

C) The honey left after baking some loaves of bread and several batches of cookies will be:

$=\dfrac{3}{4}-\dfrac{1}{6}-\dfrac{1}{4}$

$\rm =\dfrac{1}{3}\; gallons$

D)  Lila used 1/2 lb flour to make the bread and to make cookies 1/8 more.

$\dfrac{1}{2}+\dfrac{1}{8}=\dfrac{5}{8}$

Lila used 5/8 to make cookies and she used 1/4 more to make cookies than brownies.

$\dfrac{5}{8}-\dfrac{1}{4}=\dfrac{3}{8}$

3/8 lb flour she use to make the brownies.

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https://brainly.com/question/13911928