Question

for a fundraiser, Hailey raises $27, plus 1.50 for each lap she swims. Tariana raises $18, plus $3 for each lap she swims what is the total amount raised by each swimmer after swimming laps. after how many laps would the two swimmers have raised the same amount of money?

Answer 1

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

For both swimmer to raised same amount

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 = $\dfrac{9}{1.5}$

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