The cost of coffee of \(\dfrac{1}{4}\) can is \(\boxed{{\mathbf{15}}\,\,{\mathbf{cent}}}\).
Further explanation:
Given:
The cost of 4 cans of coffee is \(\$ 2.40\).
Procedure used:
To find the cost of \(x\) item first determine the cost of one item and then multiply it by \(x\).
Step by step explanation:
Step 1:
First we convert \(\$ 2.40\) into cents.
The relation between number of dollars and cents is \(\$ 1 = 100{\text{ cents}}\).
Therefore,\(\$2.40\) can be converted in the form of cents as,
\(\begin{aligned}\$ 2.40 &= 2.40 \times 100{\text{ cents}}\\&= {\text{240cents}} \\ \end{aligned}\)
Step 2:
Now determine the cost of coffee of one can.
It is given that the cost of 4 can of coffee is \(\$ 2.40 = 240{\text{ cents}}\).
Now, divide the cost of 4 cans by 4 to obtain the cost of one can.
\(\begin{aligned}{\text{cost of one can}} &= \frac{{240}}{4}\\&= 60\\\end{aligned}\)
Step 3:
Now determine the cost of coffee of \(\dfrac{1}{4}\) can.
From step 2, the cost of one can of coffee is \(60{\text{ cents}}\).
Multiply \(\dfrac{1}{4}\) by 60 to obtain the cost of coffee of \(\dfrac{1}{4}\) can as,
\(\begin{aligned}{\text{cost of }}\frac{1}{4}{\text{ can}} &= 60 \times \frac{1}{4}\\&= 15\\\end{aligned}\)
Therefore, the cost of coffee of \(\dfrac{1}{4}\) can is \(\boxed{{\mathbf{15}}\,\,{\mathbf{cent}}}\).
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Answer details:
Grade: Junior school
Subject: Mathematics
Chapter: Fraction
Keywords: Coffee, can, cost, one item, multiply, divide, cents, dollars, conversion, number, , natural number, fraction
