1. Set up a system to find two numbers whose sum is 18 and whose difference is 4.
1 answer:
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Answer:
The number of laps for which two swimmers have raised the same amount of money is 6 .
Step-by-step explanation:
Given as :
The amount raised by Hailey = $27 + $1.50 × each lap she swim
The amount raised by Tariana = $18 + $3 × each lap she swim
Let The number of laps after which both swimmer raised same amount = n
Now, According to question
<u>For both swimmer to raised same amount</u>
I.e The amount raised by Hailey = The amount raised by Tariana
Or, $27 + $1.50 × each lap she swim = $18 + $3 × each lap she swim
Or, $27 + $1.50 × n = $18 + $3 × n
Or, $27 - $18 = $3 n - $1.50 n
Or, 9 = 1.5 n
∴ n =
I.e n = 6
So, number of lap for same amount of both = n = 6
Hence The number of laps for which two swimmers have raised the same amount of money is 6 . Answer