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Millie, Josh and Libby receive a bonus at work. They are paid in the ratio of 2 : 3 : 4. Josh's share is £105. What was the total amount of the bonus before they shared it?

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We let x the portion that each of them received. This is a ratio and proportion problem. We solve as follows:

2x + 3x + 4x = Total bonus

Josh share:
105 = 3x
x = 35

Therefore,

2x + 3x + 4x = Total bonus

2(35)+ 3(35) + 4(35) = 315

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