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## Question

primary 5 | Maths
| Rate & Ratio

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T: 4u

R: 5u

S: 320-4u-5u = 320-9u

after

T: 4u

R: 5u/2

S: 160-9u/2

4u + 5u/2 + 160-9u/2 = 220

u = 30

(a)

ratio = 75 : 120 = 5 : 8

(b)

at first, S has 50 clips.

...

5 cannot be divided equally by 2.

So change the ratio by multiplying by 2.

Rina : Tina = 5 : 4 = 10 : 8

Now Rina lost ½ her clips

½ of 10 units = 10units ÷2 = 5 units

Since 1 - ½ = ½

She has ½ of her clips left, which is 5 units.

Tina didn't lose any clips and remains at 8 units.

So the ratio now is 5 : 8

b)

At first, total clips = 320 clips

In the end, total clips = 220 clips

Lost clips = 320 - 220 = 100 clips

Since Rina and Selena both lost ½ their clips,

½ of Selena's clips + ½ of Rina clips

= 100 clips

So Selena's clips + Rina's clips at first is twice of that

= 100 clips x 2 = 200 clips

Tina's clips at first (and in the end also since she didn't lose any)

= 320 - 200 = 120

120 clips = 8 units

1 unit = 120 clips ÷ 8 = 15 clips

Rina's clips at first

= 10 units

= 10 x 15 clips

= 150 clips

Selena's clips at first

= 200 clips -150 clips

= 50 clips