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primary 6 | Maths

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= 3 : 10

Since there are 30 $2 notes at first,

Number of $5 notes at first

= 30 ÷ 3 x 10

= 100

(Alternative working :

3 : 10 = 30 : 100

So there are 100 $5 notes at first)

Difference in the number of notes = 100 notes - 30 notes

= 70 notes

Since an equal number of each type of note was spent, the difference remains the same at 70 notes.

Now the ratio is 5 : 19

Difference = 19units - 5units = 14 units

70notes ÷ 14 units = 5notes/unit

So 1 unit represents 5 notes.

Multiply by 5, 5 : 19 = 25 : 95

Initial ratio is 30 : 100

30 - 25 = 5

100 - 95 = 5

This means 5 $2 and 5 $5 notes were spent.

You can finish up the question from here.