Tuesday 2 June 2015

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

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