The group rent 11 river rent tubes and 4 cooler tubes.
Step-by-step explanation:
Rent for river rent tube = $20
Rent for cooler tubes = $12.50
Total spent = $270
Total tubes rented = 15
Let,
x be the number of river rent tube.
y be the number of cooler tubes.
According to given statement;
x+y=15 Eqn 1
20x+12.50y=270 Eqn 2
Multiplying Eqn 1 by 20
[tex]20(x+y=15)\\20x+20y=300\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](20x+20y)-(20x+12.50y)=300-270\\20x+20y-20x-12.50y=30\\7.50y=30[/tex]
Dividing both sides by 7.5
[tex]\frac{7.5y}{7.5}=\frac{30}{7.5}\\y=4[/tex]
Putting y=4 in Eqn 1
[tex]x+4=15\\x=15-4\\x=11[/tex]
The group rent 11 river rent tubes and 4 cooler tubes.
Keywords: linear equations, subtraction
Learn more about linear equations at:
#LearnwithBrainly
