Question

11. ( (1) m: n=5: 4 ) ( (5 m+3 n):(3 m+n)=frac{5 m+3 n}{3 m+n} )
( =frac{5left(frac{m}{n}right)+3}{3left(frac{m}{n}right)+1}=frac{5left(frac{5}{4}right)+3}{3left(frac{5}{4}right)+1} )
( =frac{25+12}{frac{4}{frac{15+4}{4}}}=frac{37}{19}=37: 19 )

# 11. If m:n=5:4, then find the value of the ratio (5m+3n):3m+n). (1) 37:19 (2) 5:4 (3) 25:16 (4) 13:7

Solution