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GB-16-03-001 · Ratio with a difference

The ratio of red counters to blue counters is 14 : 19. There are 35 more blue counters than red counters. Work out the total number of counters.

Ratio: Using a Ratio Table with MORE and LESS Booklet p. 18
Method
1) Find difference in parts
2) Divide given difference by difference in parts to find 1 part (multiplier)
3) Multiply total parts by 1 part
Worked Example (GB-16-03-001)
Difference in parts =19−14=5= 19 - 14 = 5 parts =35  ⇒  1 part=35÷5=7= 35 \;\Rightarrow\; 1\text{ part} = 35 \div 5 = \mathbf{7}
×7\times 7
CountersRatio (Parts)Actual Count
Red1498
Blue19133
Total33231
×7\times 7
231