21. Toni, Rafa, and Henri are all servers at the Chez Joëlle Restaurant. The tips collected for the night amount to $173.80. Toni made $21.45 less in tips than Rafa. Henri made $5.90 less than Rafa. How much did each person make?
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Let's assume that Rafa made x amount of money in tips.
Toni made $21.45 less than Rafa, so Toni made x - $21.45.
Henri made $5.90 less than Rafa, so Henri made x - $5.90.
The total amount of tips collected is $173.80, so we can form the equation:
x + (x - $21.45) + (x - $5.90) = $173.80
By simplifying the equation, we get:
3x - $27.35 = $173.80
Adding $27.35 to both sides of the equation, we get:
3x = $201.15
Dividing both sides of the equation by 3, we find that:
x = $67.05
So, Rafa made $67.05 in tips.
Toni made $67.05 - $21.45 = $45.60 in tips.
Henri made $67.05 - $5.90 = $61.15 in tips.
Therefore, Rafa made $67.05, Toni made $45.60, and Henri made $61.15.