Respuesta :
Answer:
The number of river rent tubes are 11 and the number of cooler tubes are 4.
Step-by-step explanation:
Given,
Total number of tubes = 15
Total amount of money spent = $270
Price of river rent tube = $20
Price of cooler tube = $12.50
Solution,
Let the number of river rent tube be x.
And the number of cooler tube be y.
So,
Total number of tubes = The number of river rent tube + The number of cooler tube
On substituting the values, we get;
[tex]x+y=15\ \ \ \ \ \ equation\ 1[/tex]
Now,
Total amount of money spent = Price of river rent tube X The number of river rent tube + Price of cooler tube X The number of cooler tube
So,
[tex]20x+12.50y=270\ \ \ \ \ \ equation\ 2[/tex]
Now multiplying equation 1 by 20 and then subtract equation 2 from it, we get;
[tex]20(x+y)=20\times15\\20x+20y=300[/tex]
[tex](20x+20y=300) - (20x+12.50y=270)\\\\7.50y=30\\\\y=\frac{30}{7.50} =\frac{300}{75} =4[/tex]
[tex]y=4[/tex]
On substituting the value of y in equation 1, we get the value of x;
[tex]x+y=15\\x+4=15\\x=15-4=11[/tex]
Thus the number of river rent tubes are 11 and the number of cooler tubes are 4.
