Fraction P5 A004

Leah had $22 less than Emma at first. Leah spent 1/6 of her money while Emma spent 1/4 of her money at fair. If Emma had spent $8 more than Leah, how much money did Leah spend?

Given 1/6 and 1/4, make them into like fractions (denominators the same).
1/6 x 2/2 = 2/12. 1/4 x 3/3 = 3/12.

22 ÷ 4 = $5.50

E [][][][][][][][][][][][][5.50][5.50][5.50][5.50]

L [][][][][][][][][][][][]<------- 22 ------------->

3 u + 5.50 -- > 2 u + 8

1 u -- > 8 – 5.50 = 2.50

2 u -- > 2.50 x 2 = $5.00

Leah spent $5.

Alternative method 1 - model drawing 2

E [][8][][8][][8][][8]
L [][][][][][]<-22-->

4 u + 8 x 4 -- > 6 u +22
2 u -- > 32 – 22 = 10
1 u -- > 10 ÷2 = 5

Leah spent $5.

Alternative method 2

     L                    E

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   1 u              1 u + $22

- 1/6 u     - (1/4 u + $5.50)

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   5/6 u       3/4 u - $16.50        It’s ok if you do not show these.

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1/4 u + 5.50 – 1/6 u -- > 8

1/12 u -- > 8 – 5.50 = 2.50

1/6 u -- > 2 x 2.50 = $5.00

Leah spent $5.