Lemon candies sell at 3 for 15 cents. How much will $1 \frac{1}{2}$ dozen cost?
Answer (2)
Calculate the cost of one lemon candy: 3 15 = 5 cents.
Determine the number of candies in 1 2 1 dozen: 1.5 × 12 = 18 candies.
Calculate the total cost in cents: 18 × 5 = 90 cents.
Convert the total cost to dollars: $\frac{90}{100} = 0.90. T h e f ina l an s w er i s \boxed{ 0.90} .
Explanation
Cost of One Candy Let's break down this problem step by step. First, we need to figure out how much one lemon candy costs. We know that 3 lemon candies sell for 15 cents.
Calculating Cost Per Candy To find the cost of one candy, we divide the total cost (15 cents) by the number of candies (3):
3 candies 15 cents = 5 cents per candy
So, each lemon candy costs 5 cents.
Finding the Number of Candies Next, we need to determine how many candies are in 1 2 1 dozen. A dozen contains 12 items, so 1 2 1 dozen is 1.5 times 12:
1.5 × 12 = 18
Therefore, we have 18 lemon candies.
Calculating the Total Cost Now that we know the cost of one candy (5 cents) and the total number of candies (18), we can find the total cost by multiplying these two values:
18 candies × 5 cents per candy = 90 cents
So, 18 lemon candies will cost 90 cents.
Converting to Dollars Since the question asks for the answer in dollars, we need to convert 90 cents to dollars. There are 100 cents in a dollar, so we divide 90 by 100:
\frac{90 \text{ cents}}{100 \text{ cents/dollar}} = $0.90
Therefore, 1 2 1 dozen lemon candies will cost $0.90.
Final Answer Therefore, the cost of 1 2 1 dozen lemon candies is $\boxed{ 0.90} .
Examples
Imagine you're planning a school fair and want to sell lemon candies. Knowing the cost per candy and the quantity you're buying helps you determine the total expense and set a reasonable selling price to make a profit. This calculation is also useful when comparing prices at different stores or when buying in bulk to get a better deal. Understanding unit costs and scaling them up is a fundamental skill in everyday financial decisions.
The cost of 1 2 1 dozen lemon candies is calculated to be $0.90. This is determined by finding the cost per candy, calculating the total number of candies, and then converting the total cost from cents to dollars. Specifically, each candy costs 5 cents, and there are 18 candies in total, leading to a total cost of 90 cents, which converts to $0.90.
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