30% of the rabbits from a farm were lent to a zoo. After a month, 5/6 of the rabbits were returned to the farm. There were 228 rabbits in the farm now.
a.) How many rabbits were lent to the zoo in the beginning?
b.) How many rabbits were there at the farm before they were lent to the zoo?
6 answers
What answer did you come up with?
213
why in this site is hard to find the answer
5/6=0.83
1-0.83=0.17
228/0.17=1342 rabbits
1342×0.83=1114 rabbits returned to farm
1342÷0.3=4474 total number of rabbits at the first.
1-0.83=0.17
228/0.17=1342 rabbits
1342×0.83=1114 rabbits returned to farm
1342÷0.3=4474 total number of rabbits at the first.
x = total rabbits in farm
y = rabbits lent to zoo
0.3 x = y - - > EQ. 1 (30% of rabbits from a farm lent to zoo)
5/6 y + 0.7 x = 228 - -> EQ. 2 (5/6 of lent rabbits were returned added to what was left of 30%)
Substitute EQ1 to EQ 2
(5/6) 0.3x + 0.7 x = 228
0.25 x + 0.7 x = 228
0.95 x = 228
x = 228 / 0.95
x = 240 total rabbits in farm
y = 0.3 x
y = 0.3 (240)
y = 72 rabbits lent to zoo
y = rabbits lent to zoo
0.3 x = y - - > EQ. 1 (30% of rabbits from a farm lent to zoo)
5/6 y + 0.7 x = 228 - -> EQ. 2 (5/6 of lent rabbits were returned added to what was left of 30%)
Substitute EQ1 to EQ 2
(5/6) 0.3x + 0.7 x = 228
0.25 x + 0.7 x = 228
0.95 x = 228
x = 228 / 0.95
x = 240 total rabbits in farm
y = 0.3 x
y = 0.3 (240)
y = 72 rabbits lent to zoo
a)72
b)240
b)240