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If three numbers P, Q, R are in ratio 6 : 4 : 5, find...

Mathematics
JAMB 1985

If three numbers P, Q, R are in ratio 6 : 4 : 5, find the value of \(\frac{3p - q}{4q + r}\)
  • A. \(\frac{3}{2}\)
  • B. \(\frac{2}{3}\)
  • C. 2
  • D. 3
  • E. 18
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Correct Answer: Option B
Explanation
P : Q : r = 6 : 4 : 5

5 = 6 + 4 + 5

= 15

P = \(\frac{6}{15}\), q = \(\frac{4}{15}\), r = \(\frac{5}{15}\) = \(\frac{1}{3}\)

To find \(\frac{3p - q}{4q + r}\)

3p - q = 3 x \(\frac{6}{15}\) - \(\frac{4}{15}\)

\(\frac{18}{15}\) - \(\frac{4}{15}\) = \(\frac{14}{15}\)

∴ 4q + r = 4 x \(\frac{4}{15}\) + \(\frac{5}{15}\)

\(\frac{16}{15}\) = \(\frac{16}{15}\) + \(\frac{5}{15}\)

= \(\frac{21}{15}\)

\(\frac{14}{15}\) x \(\frac{15}{21}\) = \(\frac{14}{21}\)

= \(\frac{2}{3}\)

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Join your school's WhatsApp group
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Join your school's WhatsApp group
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts