Agroup of 485 people take a canoe trip they fill up all available canoes that each hold 3 people with 273 people the rest of the group will ride in canoes that each hold 2 people how many canoes will the group need? write equations with unknowns to show your steps

We  have been given that a group of 485 people take a canoe trip. They fill up all available canoes that each hold 3 people with 273 people. The rest of the group will ride in canoes that each hold 2 people.

Let x be number of 3 seater canoes and y be number of 2 seater canoes.

Upon using our given information we can set two equations as:

Upon substituting equation 1 in equation 2 we will get,

Therefore, number of 2 seater canoes will be 106.

Upon solving our 1st equation we will get number of 3 seater canoes.

Therefore, number of 3 seater canoes will be 91.

To find total number of canoes we will add number of 2 seater and 3 seater canoes.

Therefore, group will need 197 canoes.  

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

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