Given: 1 Ratio + Amount from Each Side
Answer: Amount of Change
First
Jim had $190 while Dawn had $60. After each of them received an equal amount of money from their father, Jim had twice as much money as Dawn. How much did their father give each of them?
(After)
Jim : Dawn : Difference
= 2 : 1 : 1
1u = 190 - 60 = $70
Change = 70 - 60 = $10
Second
Mr Nay has 12 Twitter followers and 66 Facebook friends. After gaining the same number of Twitter followers and Facebook friends, there are 3 times as many Facebook friends as Twitter followers. How many Facebook friends did he gain?
Third
Chloe had 18 stickers and Jane had 6 stickers. When they both gave away an equal number of stickers, Chloe had 4 times as many stickers as Jane. How many stickers did they each gave away?
Fourth
Ken had 14 pens and Ben had 2 pens. When they received an equal number of pens from their teacher, the ratio of Ken's pens to Ben's pens became 3:1. How many pens did each of them receive from their teacher?
Fifth
Matthew is 29 years old and his son is 5 yrs old now. In how many years will Matthew be thrice as old as his son?
Sixth
Ryan is 33 years old and his son is 5 years old now. In how many years will Ryan be thrice as old as his son?
Seventh
Joanne had 28 Facebook fans and Gina had 157 Facebook fans. After each of them gained the same number of fans the following week, Gina had 4 times as many fans as Joanne. How many Facebook fans did each person gain?
Eighth
Paul had 40 Twitter followers and James had 128 Twitter followers. After the same number of people unfollowed each of them, James had 5 times as many Twitter left as Paul. How many Twitter followers unfollowed both of them?
Ninth
Mark had $210 and Rick had $30 at first. After receiving the same amount of money from their father, Mark now has four times as much money as Rick. How much did each person receive? (Answer: $30)
Seventh
Joanne had 28 Facebook fans and Gina had 157 Facebook fans. After each of them gained the same number of fans the following week, Gina had 4 times as many fans as Joanne. How many Facebook fans did each person gain?
Eighth
Paul had 40 Twitter followers and James had 128 Twitter followers. After the same number of people unfollowed each of them, James had 5 times as many Twitter left as Paul. How many Twitter followers unfollowed both of them?
Ninth
Mark had $210 and Rick had $30 at first. After receiving the same amount of money from their father, Mark now has four times as much money as Rick. How much did each person receive? (Answer: $30)
Tenth
At a meeting, there were 40% more men than women.
After 24 men and 24 women left the meeting, there were 50% more men than women.
How many men were at the meeting at first?
After 24 men and 24 women left the meeting, there were 50% more men than women.
How many men were at the meeting at first?
Eleventh
Joanne had 28 Facebook fans and Gina had 157 Facebook fans.
After each of them gained the same number of fans the following week, Gina had 4 times as many fans as Joanne.
How many Facebook fans did each person gain?
After each of them gained the same number of fans the following week, Gina had 4 times as many fans as Joanne.
How many Facebook fans did each person gain?
Given: 2 Ratios + Amount of Change
Answer: One Side or Total Number
First
The ratio of Adam’s money to Barney’s money is 3 : 2.
If each of their money is increased by $4, the ratio will become 11 : 8.
How much money does Barney have?
If each of their money is increased by $4, the ratio will become 11 : 8.
How much money does Barney have?
(Before)
Adam : Barney : Difference
= 3 : 2 : 1
= 9 : 6 : 3
(After)
Adam : Barney : Difference
= 11 : 8 : 3
Change = 11 - 9 = 2u
2u = $4
(Before)
Barney = 3u = $6
Second
Jake had 60% as many erasers as stickers.
After he gave 10 stickers and 10 erasers away, there were twice as many stickers as erasers.
What was the total number of erasers and stickers he had at first?
(Before)
Erasers : Stickers : Difference : Total
= 60 : 100 : 40 : 160
= 3 : 5 : 2 : 8
(After)
Erasers : Stickers : Difference
= 1 : 2 : 1
= 2 : 4 : 2
Change = 3 - 2 = 1u
1u = 10
Total (Before) = 8u = 80
Third
The ages of Ali and Billy are in the ratio of 4 : 7. In 3 years time, their ages will be in the ratio of 3 : 5. How old is Billy now?
(Before)
Ali : Billy : Difference
= 4 : 7 : 3
= 8 : 14 : 6
(After)
Ali : Billy : Difference
= 3 : 5 : 2
= 9 : 15 : 6
Change = 9 - 8 = 1u
1u = 3 years
Billy (Before) = 14u = 42 years
Fourth
In a class, 30% were boys. After another 9 girls and 9 boys joined the class, there were 3/5 as many boys as girls. How many pupils were there in the end?
Fifth
The ratio of Iskandar's savings to Norman's savings is 2:3. They spent $865 each on a present for a friend. After that, Iskandar's savings is 2/5 of Norman's savings. How much did Norman save at first?
Given: 2 Ratios + Total Amount
Answer: Amount of Change
First
A box contained a total of 168 red and green markers in the ratio 3 : 4. An equal number of each type of markers was taken out. After that, the number of red and green markers was in the ratio 5 : 7. How many markers of each type were taken out?
(Before)
Red : Green : Difference : Total
= 3 : 4 : 1 : 7
= 6 : 8 : 2 : 14
(After)
Red : Green : Difference
= 5 : 7 : 2
14u = 168
1u = 12
Change = 6 - 5 = 1u = 12
Change to Total is Double the Change
The combined age of Paul and Tom now is 45 years. Tom is 25 years younger than Paul.
How old was Tom 5 years ago?
How old was Tom 5 years ago?
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