If 7:x=17.5:22.5, find the value of x.
2024
If 7:x=17.5:22.5, find the value of x.
- A.
9
- B.
12
- C.
15
- D.
8
Attempted by 140 students.
Show answer & explanation
Correct answer: A
Solve the proportion 7/x = 17.5/22.5.
Cross-multiply: 7 × 22.5 = 17.5 × x.
Compute 7 × 22.5 = 157.5, so 157.5 = 17.5 x.
Divide both sides by 17.5: x = 157.5 ÷ 17.5 = 9.
Alternative simplification: 22.5/17.5 = 225/175 = 9/7, so x = 7 × (22.5/17.5) = 7 × (9/7) = 9.
Check: 7/9 = 0.777... and 17.5/22.5 = 0.777..., so the solution x = 9 is correct.