Question
Melissa's monthly expenses on food, transportation, and rent are in the ratio \( 3: 2: 10 \), respectively. If he spends \( \$ 195 \) on food, how much does he spend on transportation and rent? a. What is the transportation amount? b. What is the rent amount? Round to the nearest cent the nearest cent
Ask by Matthews Wang. in Canada
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a. Transportation amount: \$130.00
b. Rent amount: \$650.00
Solution
**Step 1: Determine the unit cost**
The ratio for food, transportation, and rent is given as \( 3:2:10 \). Since Melissa spends \(\$195\) on food and the food part is \(3\), the cost per unit is:
\[
\text{Unit cost} = \frac{195}{3} = 65.
\]
**Step 2: Calculate the transportation amount**
Transportation corresponds to \(2\) parts. Thus, the transportation expense is:
\[
\text{Transportation cost} = 2 \times 65 = 130.
\]
**Step 3: Calculate the rent amount**
Rent corresponds to \(10\) parts. Thus, the rent expense is:
\[
\text{Rent cost} = 10 \times 65 = 650.
\]
**Final Answers:**
a. Transportation amount: \(\$130.00\)
b. Rent amount: \(\$650.00\)
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Simplify this solution Bonus Knowledge
To find Melissa's transportation and rent expenses, we first set up the ratio of her expenses based on food: \(3x\) for food, \(2x\) for transportation, and \(10x\) for rent. Given that she spends \( \$195 \) on food: \[ 3x = 195 \] Now, solve for \( x \): \[ x = \frac{195}{3} = 65 \] Using the value of \( x \): **a.** The transportation amount is: \[ 2x = 2 \times 65 = \$130 \] **b.** The rent amount is: \[ 10x = 10 \times 65 = \$650 \]
