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primary 5 | Maths
| Rate & Ratio
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Pls include explaination. Answer is 36 and 8
3 units - 132 cookies = 2 parts ---①
2 units - 92 cookies = 1 part
So 4 units - 184 cookies = 2 parts ---②
Realise that ① and ② are equal.
So,
3 units -132 cookies = 2 units - 184 cookies
1 unit = 52 cookies
1 part = 2 units - 92 cookies
= 2 x 52 - 92
= 104 - 92
= 12 cookies
No. of cookies left in the end
= 3 parts
= 3 x 12 cookies
= 36 cookies
Assume all cookies were sold in packets of 4 first.
36 cookies ÷ 4 cookies per packet
= 9 packets
9 packets x $1 each = $9 earned
However, $11 was earned.
Now, if the cookies in 1 packet were taken out and sold separately at $0.50 each,
Extra amount earned from that 4 cookies
= $0.50 x 4 - $1
= $2 - $1
= $1
$11 - $9 = $2
$2 ÷$1 = 2
This means 2 packets worth of cookies were sold separately at $0.50 each.
2 x 4 = 8
8 cookies were sold at $0.50 each.
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