band members make 2/3 of their profit selling concert tickets they make one-fifth of their profits selling Band merchandise at concerts how many times more do they make from ticket sales then from merchandise sales
Answer:
The band made \(\frac{10}{3}\) times more from ticket sales then from the merchandise sales.
Step-by-step explanation:
Let the profit be be p
Amount gained by selling concert tickets ,a= \(\frac{2}{3}\) of profit:
\(\frac{2}{3}p\)
Amount gained by selling Band merchandise,a' = \(\frac{1}{5}\) of profit:
\(\frac{1}{5}p\)
Ratio of amount gained by selling tickets to amount gained by selling merchandise.
\(\frac{a}{a'}=\frac{\frac{2}{3}p}{\frac{1}{5}p}=\frac{10}{3}\)
\(a=\frac{10}{3}\times a'\)
Amount gained by selling tickets=\(\frac{10}{3}\) amount gained by selling merchandise
The band made \(\frac{10}{3}\) times more from ticket sales then from the merchandise sales.