At a local produce market, $3/4$ of a pint of fresh lemon juice costs $7.65. How much does one pint cost?
A) $5.74
B) $10.20
C) $13.39
D) $11.48
Answer (2)
Set up a proportion to relate the cost of 3/4 pint of lemon juice to the cost of 1 pint.
Express the proportion as 7.65 3/4 = x 1 , where x is the cost of one pint.
Solve for x by multiplying both sides by 3 4 : x = 7.65 × 3 4 .
Calculate the cost of one pint: x = $10.20 .
Explanation
Understanding the problem We are given that 3/4 of a pint of fresh lemon juice costs $7.65. We need to find the cost of one pint of lemon juice.
Setting up the proportion Let x be the cost of one pint of lemon juice. We can set up a proportion to solve for x .
Writing the proportion The proportion is: $7.65 4 3 pint = $ x 1 pint
Cross-multiplying To solve for x , we can cross-multiply: 4 3 x = 7.65
Isolating x Now, we can isolate x by multiplying both sides by 3 4 : x = 7.65 × 3 4
Calculating the cost Calculating the value of x : x = 3 7.65 × 4 = 3 30.6 = 10.20 Therefore, one pint of fresh lemon juice costs $10.20.
Examples
Understanding the cost per unit is a fundamental concept that applies to everyday life. For instance, when buying groceries, comparing the price per ounce or pound helps you determine which brand or package size offers the best value. This skill is also useful in budgeting and financial planning, where knowing the cost of individual items or services allows you to make informed decisions and manage your money effectively. By calculating the unit price, you can ensure you're getting the most for your money, whether it's lemon juice at the market or any other product you purchase.
One pint of fresh lemon juice costs $10.20. This is calculated by setting up a proportion based on the cost of 4 3 pint at $7.65. By solving the proportion, we find that x = 10.20 .
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