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primary 6 | Maths
| Fractions
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1 - 1/5 = 4/5
If Peiling's cookies = 1/5 of remaining cookies + 6 cookies
Then Amina's cookies = 4/5 of remaining cookies - 6 cookies
So 4/5 of remaining cookies - 6 cookies = 54 cookies
4/5 of remaining cookies = 54 cookies + 6 cookies = 60 cookies
1/5 of remaining cookies = 60 cookies ÷ 4 = 15 cookies
Remaining cookies = 15 cookies x 5 = 75 cookies
(Or in one step using fractions, remaining cookies = 60 cookies x 5/4 = 75 cookies)
1 - ¼ = ¾
Now, Tina's cookies = 24 cookies + 1/4 of total cookies
So remaining cookies must = ¾ of total cookies - 24 cookies
¾ of total cookies - 24 cookies = 75 cookies
¾ of total cookies = 75 cookes + 24 cookies
= 99 cookies
¼ of total cookies = 99 cookies ÷ 3
= 33 cookies
Total = 33 cookies x 4 = 132 cookies
(Or in one step using fractions, remaining cookies = 99 cookies x 4/3 = 132 cookies)
54 + 6 = 60
60 x 5/4 = 75
75 + 24 = 99
99 x 4/3 = 132
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