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Question 6b

Video explanation ↓

Mel Ling baked 1200 cookies and muffins for a charity sale. After she sold 1/2 of the cookies and 1/4 of the muffins, she had an equal number of cookies and muffins left. Each cookie costs $2.10 and each muffin costs $3.50. How much did Mei Ling raise for the charity sale? (2 marks)

Answer: $ 1176

Workings

equal fraction concept

step 1: find equal fractions

"After she sold 1/2 of the cookies and 1/4 of the muffins, she had an equal number of cookies and muffins left."

this means, the cookies and muffins left are equal

cookies left = muffins left

cookies left → 1/2 muffins left → 1 - 1/4 = 3/4

step 2: make numerators the same

1/2 cookies = 3/4 muffins 3/6 cookies = 3/4 muffins

step 3: convert to units

total cookies → 6u cookies left → 3u cookies sold → 3u

total muffins → 4u muffins left → 3u muffins sold → 4u - 3u = 1u

total → 1200 total (units) → 6u + 4u = 10u

10u → 1200

1u (muffins sold) → 1200 ÷ 10 = 120

3u (cookies sold) → 3 x 120 = 360

total raised → 360 x $2.10 + 120 x $3.50 = $1176

Video explanations

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