Asked by Linda Livingston
There were 352 children at a concert.
After 2/5 of the girls and 1/2 of the boys left, there remained equal amounts of boys and girls. How many girls remain
After 2/5 of the girls and 1/2 of the boys left, there remained equal amounts of boys and girls. How many girls remain
Answers
Answered by
mathhelper
number of girls ---- x
number of boys ---- 352 - x
after the departures:
number of girls remaining = (3/5)x
number of boys remaining = (1/2)(352-x)
these are equal, so
(3/5)x = (1/2)(352-x)
times 10
6x = 5(352-x)
6x = 1760 - 5x
11x = 1760
x = 160
girls remaining = (3/5)x = ....
number of boys ---- 352 - x
after the departures:
number of girls remaining = (3/5)x
number of boys remaining = (1/2)(352-x)
these are equal, so
(3/5)x = (1/2)(352-x)
times 10
6x = 5(352-x)
6x = 1760 - 5x
11x = 1760
x = 160
girls remaining = (3/5)x = ....