AI Math Solver
Resources
Questions
Pricing
Login
Register
Home
>
Questions
>
Solve: Find 20% of a $450 Paycheck for Savings
Mathematics
Grade 6 (Primary School)
Question Content
Arturo puts 20% of his paycheck into his savings account. He receives a paycheck for $450. How much money should Arturo put into his savings account? Drag an expression or value into each box to complete the statements. Use the expression ______ to solve the problem. Arturo should put $______ into his savings account. Given options: $\frac{2}{100}×450$, $\frac{1}{5}×450$, $2×450$, $20×450$, $9$, $90$, $900$
Correct Answer
Expression: $\frac{1}{5}×450$; Savings amount: $90$
Detailed Solution Steps
1
Step 1: Convert 20% to a fraction or decimal to set up the calculation. 20% is equivalent to $\frac{20}{100}$, which simplifies to $\frac{1}{5}$ (or 0.2).
2
Step 2: Identify the total paycheck amount is $450. To find 20% of this amount, multiply the fraction form of 20% by 450, so the expression is $\frac{1}{5}×450$.
3
Step 3: Calculate the value: $\frac{1}{5}×450 = 90$. This is the amount Arturo should put into savings.
Knowledge Points Involved
1
Percentage to Fraction Conversion
Percentages represent parts per 100. To convert a percentage to a fraction, write the percentage as the numerator over 100, then simplify. For example, 20% = $\frac{20}{100}$ = $\frac{1}{5}$. This is used to make percentage calculations easier with whole numbers.
2
Calculating a Percentage of a Number
To find a percentage of a total quantity, convert the percentage to a fraction or decimal, then multiply it by the total quantity. The formula is: $\\text{Percentage of Quantity} = \\frac{\\text{Percentage Value}}{100} × \\text{Total Quantity}$. This is used in real-world scenarios like calculating savings, taxes, or discounts.
3
Fraction Multiplication with Whole Numbers
When multiplying a fraction by a whole number, multiply the whole number by the numerator of the fraction, then divide by the denominator (or simplify the fraction first for easier calculation). For $\frac{1}{5}×450$, divide 450 by 5 directly to get 90.
Loading solution...