Sharing an amount in a given ratio

Difficulty Stretch · Set cx5md2

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1
423 counters are shared in the ratio 4 : 5. How many does the larger share get?
2
462 counters are shared in the ratio 5 : 2. How many does the larger share get?
3
336 counters are shared in the ratio 1 : 5. How many does the larger share get?
4
196 counters are shared in the ratio 2 : 5. How many does the larger share get?
5
390 counters are shared in the ratio 1 : 4. How many does the larger share get?
6
135 counters are shared in the ratio 2 : 3. How many does the larger share get?
7
240 counters are shared in the ratio 1 : 5. How many does the larger share get?
8
390 counters are shared in the ratio 2 : 3. How many does the larger share get?
9
200 counters are shared in the ratio 3 : 1. How many does the larger share get?
10
42 counters are shared in the ratio 4 : 2. How many does the larger share get?
11
96 counters are shared in the ratio 1 : 5. How many does the larger share get?
12
392 counters are shared in the ratio 2 : 5. How many does the larger share get?
13
145 counters are shared in the ratio 4 : 1. How many does the larger share get?
14
225 counters are shared in the ratio 2 : 1. How many does the larger share get?
15
231 counters are shared in the ratio 1 : 2. How many does the larger share get?
16
693 counters are shared in the ratio 4 : 5. How many does the larger share get?
17
258 counters are shared in the ratio 4 : 2. How many does the larger share get?
18
282 counters are shared in the ratio 1 : 5. How many does the larger share get?
19
312 counters are shared in the ratio 3 : 5. How many does the larger share get?
20
45 counters are shared in the ratio 4 : 1. How many does the larger share get?

What is in this set

The numbers in this set run from 1 to 720.
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 5.
Answers are a whole number.

Drawing 240 problems from this page produced 225 different ones, 94% — so a sheet of 20 is a new sheet almost every time.

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.