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.

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.

LCM=3*4=12

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.

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

LCM=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

We use LCM 12 to substract:

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)

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;

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 :

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

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

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

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

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

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

For more information, refer to the link given below:

link

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b