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The girls group rented 2 canoes and 3 inner tubes for a total cost of $80. The boys group rented 1 canoe and 7 inner tubes for a total cost of $95. What is the cost to rent 1 canoe?

A$18
B$15
C$25
D$10

<33 please help

...?

Verified Answer :

Let c is the cost of renting a canoe and t is the cost of renting inner tubes.

For the girls,
2c + 3t = 80
For the boys,
c + 7t = 95

Solving the system of equations, multiply the second equation by 2 and subtract them.

2c + 3t  = 80
2c + 14t = 190
---------------
     11t = 110
       t = 10

Substitute t to either equations,
c = 95 - 7t 
c = 95 - 7(10)
c = 25 

Therefore, one canoe costs $25 (C.)

ajeigbeibraheem

The cost to rent 1 canoe from the rent made by the group of the girls and boys is $25.

What are word problems?

Word problems are a mathematical interpretation by using variables, numbers, and arithmetic operations to solve real-life problems.

From the given information:

  • The group of girls: 2c + 3t = 80 --- (1)
  • The group of boys: 1c + 7t = 95 ---- (2)

Now, we can have a system of equations, and we can solve for the number of canoes and the inner tubes rented.

Using Elimination method:

2c + 3t = 80    --- × (1)

c + 7t = 95       --- × (2)

2c + 3t = 80

-2c + 14t = 190          

 0  +  -11t = -110        

-11t = -110

t = -110/-11

t = 10

From equation (1)

2c + 3t = 80

2c + 3(10) = 80

2c + 30 = 80

2c = 80 - 30

2c = 50

c = 50/2

c = 25

Therefore, we can conclude that the cost of the rent of 1 canoe is $25.

Learn more about word problems here:

https://brainly.com/question/21405634

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