Paul, Colin and Brian are waiters. One night the restaurant earns tips totalling £77.40.
They share the tips in the ratio 2:3:4.
How much more does Brian get over Paul?

Explanation:

x is some positive number such that the earnings of Paul, Collin, and Brian are 2x, 3x and 4x in that order

The ratio 2x:3x:4x reduces to 2:3:4 when we divide all parts by x

The total amount of tips was 77.40 pounds

This means,

(Paul's Share)+(Collin's Share)+(Brian's Share) = Total Tips

(2x)+(3x)+(4x) = 77.40

9x = 77.40

x = 77.40/9

x = 8.6

Use that x value to find each of their share of tips

As a check, note how 17.20+25.80+34.40 = 77.40

The last step is to subtract the values for Brian and Paul

34.40 - 17.20 = 17.20

Brian earned £17.20 more in tips compared to Paul.

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

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step-by-step explanation:

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