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Question 14b

Video explanation ↓

Susan puts 2 coins into her coin box every day. Each coin was either a 20-cent coin or a 50-cent coin. Every 5 days, her father added a $1 coin to her coin box. After 210 days, the total value of the coins in the coin box was $225. How many of her coins were 50-cent coins? (3 marks)

Answer: 330 coins

Workings

total days → 210 days

total coins from susan → 210 x 2 = 420

every 5 day → 1 coin added

number of coin from father in 210 days → 210 ÷ 5 = 42

total coins collected → 420 + 42 = 462

total value of $1 coin → 42 x $1 = $42

value without $1 coin → 225 - 42 = $183

total number of coins without $1 coin → 210 x 2 = 420

assumption method

step 1 → assume all coins to be 20¢ coins

total value if all 20¢ coins → 420 x $0.20 = $84

step 2 → difference for value and total

total difference → $183 - $84 = $99

value difference → $0.50 - $0.20 = $0.30

step 3 → divide

number of 50 cent coins → $99 ÷ $0.30 = 330

Video explanations

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