Question:
What number must be subtracted from each term of the ratio 87:223 to make the ratio 5:13?
What number must be subtracted from each term of the ratio 87:223 to make the ratio 5:13?
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For ratio adjustments, use cross-multiplication to find the value to be added or subtracted.
Updated On: Mar 25, 2025
- 4
- 2
- 6
- 8
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The Correct Option is C
Solution and Explanation
Step 1: Set up the equation
Let \( x \) be the number subtracted. Then: \[ \frac{87 - x}{223 - x} = \frac{5}{13} \] Step 2: Solve for \( x \)
Cross multiplying: \[ (87 - x) \times 13 = (223 - x) \times 5 \] \[ 1131 - 13x = 1115 - 5x \] \[ 16 = 8x \] \[ x = 6 \] Thus, the correct answer is 6.
Let \( x \) be the number subtracted. Then: \[ \frac{87 - x}{223 - x} = \frac{5}{13} \] Step 2: Solve for \( x \)
Cross multiplying: \[ (87 - x) \times 13 = (223 - x) \times 5 \] \[ 1131 - 13x = 1115 - 5x \] \[ 16 = 8x \] \[ x = 6 \] Thus, the correct answer is 6.
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