Question

There are 165 counters in a bag. Each counter is either black or white.

Answer 1

6:5

• there are 165 counters in the bag.

let the white counter be x

• the black counter = 2x

2x + x = 165

• 3x=165

divide both sides by 3

• x=55

there are 55 white counters in the bag

165-55=110

OR

2x= 165

divide both sides by 2

x= 110

• there are 110 black counters in the bag
• Martine takes 40%of the black counter

40%= 40/100×110

= 44.

• 44 black counters was taken out of the bag
• then there would be 66 black counters left I.e(110-44=66)

▪︎ there would be 66 black and 55 white counters in the bag.

• ratio of black counters to the white counter = 66:55
• reduced to the lowest term = 6:5 ( 11 divides 66 and 55 Into 6 and 5)

• the answer is 6:5