Question
4. Divide \( \$ 90 \) in these ratios. \( \begin{array}{ll}\text { a. } 1: 3: 5 & \text { b. } 3: 5: 1\end{array} \)
Ask by Lane Ryan. in Australia
Feb 25,2025
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Answer
To divide $90 in the ratio 1:3:5, allocate $10, $30, and $50 respectively. For the ratio 3:5:1, allocate $30, $50, and $10.
Solution
To divide $90 in the ratios 1:3:5, we need to find the total parts in the ratio and then divide $90 by the total parts to find the value of each part.
Given ratio: 1:3:5
Total parts in the ratio = 1 + 3 + 5 = 9
Value of each part = $90 / 9 = $10
Therefore, the division of $90 in the ratio 1:3:5 is $10, $30, and $50.
Now, let's move on to the second part of the problem where the ratio is 3:5:1.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{90}{9}\)
- step1: Reduce the numbers:
\(\frac{10}{1}\)
- step2: Calculate:
\(10\)
The value of each part in the ratio 3:5:1 is $10.
Therefore, the division of $90 in the ratio 3:5:1 is $30, $50, and $10.
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Simplify this solution Extra Insights
To divide \( \$ 90 \) in the ratio \( 1: 3: 5 \), first, you sum the parts: \( 1 + 3 + 5 = 9 \). Each part represents \( \frac{90}{9} = 10 \). Thus, the amounts are: - First part: \( 1 \times 10 = \$10 \) - Second part: \( 3 \times 10 = \$30 \) - Third part: \( 5 \times 10 = \$50 \) For the ratio \( 3: 5: 1 \), the total parts are \( 3 + 5 + 1 = 9 \) as well. Each part is again \( 10 \). The amounts are: - First part: \( 3 \times 10 = \$30 \) - Second part: \( 5 \times 10 = \$50 \) - Third part: \( 1 \times 10 = \$10 \)
