Answer:
The answer is below
Explanation:
River racing us a company that provides inner tubes for a children and adults to float the river. The child tube has a diameter of 2 feet and the adult tube has a diameter of 3 feet. River racing owns a total of 160 tubes and the total diameter of all the tubes is 430 feet. Write a system to determine the number of child tubes , c , and number of adult tubes, a , that river racing owns.
Solution:
Let c represent the number of child tubes and let a represent the number of adult tubes owned by river racing.
Given that there are a total of 160 tubes, hence:
a + c = 160 (1)
The total diameter of all tubes is 430 feet, hence:
3a + 2c = 430 (2)
To find a and c, we have to solve equation 1 and 2 simultaneously. multiply equation 1 by 2 and subtract from 2:
a = 110
Put a = 110 in eqn 1:
110 + c = 160
c = 50