Camilla, Jayla, and Trevor went shopping for school supplies. They spent $119 altogether. Camilla spent twice as much money as Jayla. Trevor spent twice as much money as Camilla.How much money did Camilla spend on school supplies?
Question
Camilla, Jayla, and Trevor went shopping for school supplies. They spent $119 altogether. Camilla spent twice as much money as Jayla. Trevor spent twice as much money as Camilla.How much money did Camilla spend on school supplies?
Solution
Let's denote the amount of money Jayla spent as J. According to the problem, Camilla spent twice as much as Jayla, so we can denote Camilla's spending as 2J. Trevor spent twice as much as Camilla, so Trevor's spending can be denoted as 2*2J = 4J.
The total amount of money spent by all three is given as $119. So, we can set up the following equation:
J (Jayla) + 2J (Camilla) + 4J (Trevor) = 119
To find the value of J (the amount of money Jayla spent), we divide both sides of the equation by 7:
J = 17
So, Jayla spent 17 = $34.
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