HOTS Mathematics Primary 6 Algebra

Aisha and her 2 friends held a CCA fundraiser. Aisha sold p packets of cookies at $6 each and q cups of lemonade at $2 each. They gave $10 to the school fund and then shared the remaining money equally among the 3 of them. Which expression gives each person's share in dollars?

A (6p + 2q − 10) ÷ 3
B (6p + 2q) ÷ 3 − 10
C 6p + 2q − 10
D 2p + (2q − 10) ÷ 3
Show Worked Solution

Worked Solution

Step 1: Find the total money earned. Cookies: 6p dollars Lemonade: 2q dollars Total earned = 6p + 2q Step 2: Subtract the school fund contribution. Remaining = 6p + 2q − 10 Step 3: Divide equally among 3 people. Each person's share = (6p + 2q − 10) ÷ 3 Verify with p = 5, q = 5: Total = 30 + 10 = 40. Remaining = 40 − 10 = 30. Each share = 30 ÷ 3 = $10.

Correct answer: (6p + 2q − 10) ÷ 3

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