Sharing an amount in a given ratio

Difficulty Starter · Set 2oy2mo

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1
63 counters are shared in the ratio 4 : 3. How many does the larger share get?
2
50 counters are shared in the ratio 4 : 1. How many does the larger share get?
3
77 counters are shared in the ratio 5 : 2. How many does the larger share get?
4
72 counters are shared in the ratio 1 : 5. How many does the larger share get?
5
40 counters are shared in the ratio 4 : 1. How many does the larger share get?
6
32 counters are shared in the ratio 1 : 3. How many does the larger share get?
7
90 counters are shared in the ratio 4 : 5. How many does the larger share get?
8
25 counters are shared in the ratio 3 : 2. How many does the larger share get?
9
66 counters are shared in the ratio 1 : 5. How many does the larger share get?
10
36 counters are shared in the ratio 5 : 4. How many does the larger share get?
11
60 counters are shared in the ratio 2 : 3. How many does the larger share get?
12
60 counters are shared in the ratio 2 : 3. How many does the larger share get?
13
60 counters are shared in the ratio 2 : 3. How many does the larger share get?
14
30 counters are shared in the ratio 4 : 1. How many does the larger share get?
15
9 counters are shared in the ratio 2 : 1. How many does the larger share get?
16
35 counters are shared in the ratio 3 : 4. How many does the larger share get?
17
16 counters are shared in the ratio 1 : 3. How many does the larger share get?
18
21 counters are shared in the ratio 2 : 5. How many does the larger share get?
19
72 counters are shared in the ratio 2 : 4. How many does the larger share get?
20
55 counters are shared in the ratio 2 : 3. How many does the larger share get?

What is in this set

The numbers in this set run from 1 to 108.
Every problem in it will split into shares of different sizes.
A careful solution takes 3 written steps on average.
The mistake this set invites most often, in 100% of the problems: the total was divided by 2.
Answers are a whole number.

Drawing 240 problems from this page produced 141 different ones, 59% — so a sheet of 20 will come back to a problem you have seen — there are only so many sensible ones of this kind.

The same skill, harder or easier

We would put this in front of a grade 6 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.