1 Answer

Deceze · Answer 1 · 2023-04-14T19:34:05+0000

Part A

You know that 1 bag of candy weighs 5 pounds.

Elijah has 1/2 (half) bag of candy, to determine how much the half of a bag weight, you have to multiply the weight of a whole bag by 1/2:

$5\cdot(1)/(2)$

Divide the whole number by 1 to express it as a fraction and multiply both fractions:

$(5)/(1)\cdot(1)/(2)=(5\cdot1)/(1\cdot2)=(5)/(2)=2.5$

Elijah has 2.5 pounds of candy.

Part B

Now he has 2 1/2 bags of candy, as before, to determine how many pounds he has, you have to multiply this amount by the weight of one bag:

$2(1)/(2)\cdot5$

-First, you have to express the mixed number as an improper fraction:

1) Divide the whole number by one to express it as a fraction and add the fraction:

2) Multiply the first fraction by 2 to express it with denominator 2

$(2\cdot2)/(1\cdot2)+(1)/(2)=(4)/(2)+(1)/(2)=(5)/(2)$

-Second, multiply 5/2 by 5

$(5)/(2)\cdot5=(5)/(2)\cdot(5)/(1)=(5\cdot5)/(2\cdot1)=(25)/(2)=12.5$

Elijah has 12.5 pounds of candy.

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