Question 1197116
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The setup shown by the other tutor is fine; I personally would use the given information to set it up differently to avoid needing fractions or decimals.<br>
The given information tells us that Philip had the smallest number of coins, so<br>
let x = # of coins Philip had
then 2x = # of coins Jamie had  (Philip had half as many as Jamie, so Jamie had twice as many as Philip)
and 10x = # of coins Francis had  (5 times as many as Jamie)<br>
Philip has 27 fewer coins than Francis:<br>
10x-x = 9x = 27
x = 3<br>
The amounts they each had....
Philip: x = 3 50-cent coins = $1.50
Jamie: 2x = 6 1-dollar coins = $6.00
Francis: 10x = 30 20-cent coins = $6.00<br>
The total amount: $1.50+$6.00+$6.00 = $7.50<br>
ANSWER: $7.50<br>