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4/7 / 3 = 4/21
4/21 x 4 = 16/21
(1 – 16/21) / 10 = 1/42
1 / (1/42) = 42 as (a)’s answer

4/21 = 8/42
$10.80 / 8 = $1.35 as (b)’s answer

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This is a Simultaneous Equation question.

1. Buy 1. 4u money buy 3 books.

2. Buy 2. 3u money buy 1 book and 10 marker.

    Buy 1  buy 2  buy 2 x 3   B2 – B1
Book  3 1  3  0
Marker    10  30  30
Total  4u 3u  9u  5u

5u = 30 marker

1u = 30 ÷ 5 = 6

a)

7u = 6 × 7 = 42 marker

b)

3 book = 3 × 10.8 = 32.8

4u = 32.4

1u = 32.4 ÷ 4 = 8.1

7u = 8.1 × 7 = 56.7

56.7 ÷ 42 =$1.35

 

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4/7 can’t divide into 3 units nicely. So let’s look at it as 12/21 instead.
We can use units and parts to solve this from here,

Let what Kim had at first be 21u
3 books = 12u, then each book will be 4u.

Of the remaining money= 21u – 12u = 9u
10 markers = 9u – 4u = 5u

a) one marker = 5u/10 = 0.5u
She could have bought = 21u/0.5u = 42 markers##

b) 4u = $10.80
u = 10.80/4 = $2.70
Marker = 0.5u = 2.7/2 = $1.35#

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