starting with x stickers,
a = 20 + 1/5 (x-20) = x/5 + 16
b = 1/6 (x-a) + 30
c = x-(a+b) = 240
Now finish it off
Ali, Ben and Calvin divided some stickers among themselves.
Ali took 20 stickers and 1/5 of the remaining stickers.
Next, Ben took 1/6 of the remaining stickers and 30 more.
Finally Calvin took the 240 stickers that were left over.
(a) How many stickers did Ben take?
(b) How many stickers were there in total at first?
2 answers
the all → x (set an unknown)
Ali 20+1/5(x -20)
Ben 1/6[x-20-1/5(x-20)]+30
Calvin 240
20+1/5(x-20)+1/6[x-20-1/5(x-20)]+30+240=x
20x=8500 (solve equation)
x=425
(a) 425 - 20 = 405
1/5 × 405 = 82
Ali: 20 + 81 =1 01
Ben: 1/6 × (425 - 101) + 30 = 84
(b) 425
(a) 84
(b) 425
Ali 20+1/5(x -20)
Ben 1/6[x-20-1/5(x-20)]+30
Calvin 240
20+1/5(x-20)+1/6[x-20-1/5(x-20)]+30+240=x
20x=8500 (solve equation)
x=425
(a) 425 - 20 = 405
1/5 × 405 = 82
Ali: 20 + 81 =1 01
Ben: 1/6 × (425 - 101) + 30 = 84
(b) 425
(a) 84
(b) 425
2 answers