Modified Total Concept (Repeated Differences + Equal Portion)

First
1/4 of Andrew’s money is $20 more than 1/3 of Ben's money. If they have $115 altogether, how much money does Ben have?

Second
Joey and Pamela saved $800 altogether. 1/4 of Joey's savings was $65 more than 1/5 of Pamela’s savings. How much more money than Pamela did Joey save?

Third
Alisha and Beck have $90 altogether. 1/5 Alicia's money is $10 more than 1/3 of Beck’s money. How much does Alisha have?

Fourth
1/6 of Vera’s stickers is 40 more than 1/5 of Wendy's stickers. If they have 504 stickers altogether, how many stickers does Vera have?

Fifth
Lena and her grandmother have a total age of 64 years now.
In 3 years' time, her grandmother will be 6 times as old as Lena.
How old is Lena's grandmother now?

Sixth

Elmo and Farah had 153 crystal plates altogether.
1/3 of Elmo's plates is 15 more than 1/6 of Farah's plates.
How many crystal plates did Elmo have?

Excess = 15 × 3 = 45
3u + 6u = 9u
9u = 153 - 45 = 108
1u = 108÷ 9 = 12
Elmo = 3u + 45 = 3 × 12 + 45 = 81

Seventh

Ahmad and Jonathan collected 360 stamps altogether.
1/3 of Ahmad's stamps was 85 more than 1/4 of Jonathan's stamps.
How many more stamps did Ahmad collect than Jonathan?

Excess = 85 × 3 = 255
3u + 4u = 7u
7u = 360 - 255 = 105
1u= 105 ÷ 7 = 15
Difference = 255 - 15 = 240

Modified Total Concept

1) Cindy paid $450 for a dress an umbrella and a handbag. The dress costs $30 less than 5 times the cost of the umbrella. The handbag cost $80 more than twice the cost of the umbrella. Find the cost of the handbag.

2) Mr Tan has $930 to give to his 3 children. The first child gets $200 more than 3 times as much as the second child. The third child gets $70 less than 4 times as much as the second child. How much does the second child get?

3) Tony saved for 3 months and accumulated a total savings of $522. His savings in the first month was $15 less than 3 times as much as his savings in the second month. His savings in the third month was $23 less than 4 times as much as his savings in the second month. Find his savings in the first month.

4) There are 177 people in three rooms altogether. The first room has 13 people less than 5 times as many people as the second room. The third room has 10 people more than 3 times as many people as the second room. How many people are there in the third room?