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2 years ago

Jessica made 124 cookies. She put the cookies into three boxes, A, B and C.

Mathematics

1 answer:

Oxana [17]2 years ago

7 0

There are 78 cookies in box C, 26 cookies in box B and 10 cookies in box A.

let the number of cookies in first box be represented mathematically as B-16

the number of cookies in second box be represented as B

the number of cookies in third box be represented as 3B

Since there are 124 cookies we can make an equation such that it becomes

B-16 +B +3B =124

Solving for B, we have

5B -16 =124

5B =124 +16

5B =130

B=130/5

B=26

Therefore Box A contains B-16 =26-16 =10 cookies

Box C contains 3B =3 X 26=78 cookies

See similar question here: brainly.com/question/23505776

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A) Maxine can mow one lawn in 24 minutes, so the rate of work is:
1/24 of the lawn per minute.
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1/36 of the lawn per minute.
The amount of the lawn that each has left to lawn by the minute x is:
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Sammie = 1 - (1/36)*x
we want to find the value of x such that:
2*(1 - (1/24)*x) = 1 - *(1/36)*x
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2 - (1/12)*x = 1 - (1/36)*x
2 - 1 = (1/12 - 1/36)*x
1/0.055 = x = 18.2
by the minute 18.2
B) Similar to before, here the rates are:
For Maxine, R = 1/6
For Sammie, R = 1/9
The amount they have left to mow by minute x is:
Maxine = 1 - (1/6)*x
Sammie = 1 - (1/9)*x
We want to solve, similar to before.
2( 1 - (1/6)*x) = 1 - (1/9)*x
2 - (1/3)*x = 1 - (1/9)*x
2 - 1 = (1/3 - 1/9)*x
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1*9/2 = x = 4.5
So here the solution is 4.5 minutes. Hope this helps

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