20209

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

542

Question

Harmony makes four tie-dye shirts for a total cost of $120.

She sells two of the shirts for $30 each and another for $45.

For what price must she sell the fourth shirt to achieve a profit?

Worked Solution

Total cost = $120

Sales = 2 ×\times 30 + 45 = $105

Profit occurs when sales price > cost

∴ Sales price of 4th shirt must be more than $15

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Harmony makes four tie-dye shirts for a total cost of $120. She sells two of the shirts for $30 each and another for $45. For what price must she sell the fourth shirt to achieve a profit?
workedSolution
Total cost = $120 Sales = 2 $\times$ 30 + 45 = $105 Profit occurs when sales price > cost ∴ Sales price of 4th shirt must be {{{correctAnswer}}}
correctAnswer
more than $15

Answers

Is Correct?Answer
✓

more than $15

x

less than $15

x

exactly $15

x

a profit is not possible

Variant 1

DifficultyLevel

545

Question

Elroy is selling 30 kilograms of organic bananas at the market that cost him $6 per kilogram to grow.

He sells the first 10 kilograms for $90 and the second 10 kilograms for $70.

What price must he sell the last 10 kilograms to achieve a profit?

Worked Solution

Total cost = 30 ×\times 6 = $180

Sales = 10 ×\times 9 + 10 ×\times 7 = $160

Profit occurs when sales price > cost

∴ Sales price of the last 10 kilograms must be more than $20

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Elroy is selling 30 kilograms of organic bananas at the market that cost him $6 per kilogram to grow. He sells the first 10 kilograms for $90 and the second 10 kilograms for $70. What price must he sell the last 10 kilograms to achieve a profit?
workedSolution
Total cost = 30 $\times$ 6 = $180 Sales = 10 $\times$ 9 + 10 $\times$ 7 = $160 Profit occurs when sales price > cost ∴ Sales price of the last 10 kilograms must be {{{correctAnswer}}}
correctAnswer
more than $20

Answers

Is Correct?Answer
✓

more than $20

x

less than $20

x

exactly $20

x

a profit is not possible

Variant 2

DifficultyLevel

547

Question

Kolin is selling 4 wooden chopping boards at the market that cost him $100 to make, in total.

He sells the first two chopping boards for $45 each and the third for $25.

What price must he sell the 4th chopping board to achieve a profit?

Worked Solution

Total cost = $100

Sales = 2 ×\times 45 + 25 = $115

Profit occurs when sales price > cost

∴ Kolin has already made a profit

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Kolin is selling 4 wooden chopping boards at the market that cost him $100 to make, in total. He sells the first two chopping boards for $45 each and the third for $25. What price must he sell the 4th chopping board to achieve a profit?
workedSolution
Total cost = $100 Sales = 2 $\times$ 45 + 25 = $115 Profit occurs when sales price > cost ∴ {{{correctAnswer}}}
correctAnswer
Kolin has already made a profit

Answers

Is Correct?Answer
x

more than $15

x

less than $15

x

exactly $15

✓

Kolin has already made a profit