In a mixture where A costs $6 per unit, B costs $9 per unit, and you need 10 units to reach $60, if you use only A, how many units of A do you use?

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Multiple Choice

In a mixture where A costs $6 per unit, B costs $9 per unit, and you need 10 units to reach $60, if you use only A, how many units of A do you use?

Explanation:
When you buy something at a fixed price, the total cost grows proportionally with the number of units. Here, A costs $6 per unit, and you want a total of $60 using only A. Set up 6 × (number of units) = 60. Dividing both sides by 6 gives the number of units = 10. So you need 10 units of A to reach $60. Checking other possibilities shows why they don’t work: 5 units cost 5 × 6 = $30, 0 units cost $0, and 6 units cost 6 × 6 = $36. None reach $60, while 10 units exactly reach $60.

When you buy something at a fixed price, the total cost grows proportionally with the number of units. Here, A costs $6 per unit, and you want a total of $60 using only A. Set up 6 × (number of units) = 60. Dividing both sides by 6 gives the number of units = 10. So you need 10 units of A to reach $60.

Checking other possibilities shows why they don’t work: 5 units cost 5 × 6 = $30, 0 units cost $0, and 6 units cost 6 × 6 = $36. None reach $60, while 10 units exactly reach $60.

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