Question

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

Answer 1

1) 2a+3b = 80
2) a+7b = 95
rewrite 2)
a = 95-7b
plugin into 1)
190-14b+3b = 80
11 b = 110
canoe must be 25 bucks if the inner tubes are 10

Answer 2

x = canooes
y = inner tubes

80 = 2x + 3y
95 = x + 7y (multiply by 2)

80 = 2x + 3y
190 = 2x + 14y

minus from eachother

110 = 11y

110 / 11 = 11y / 11

10 = y

inner tubes cost $10 each
now we can work out how much the canooes cost

80 = 2x + 3y

we replace y with the amount we found for how much the inner tubes cost which is 10

80 = 2x + 3(10)

which is

80 = 2x + 30

which now turns to

80 - 30 = 2x

50 = 2x

50 / 2 = 2x / 2

25 = x

now we know the price for the canooes is $25 each

and to check we can use the amounts in the second equation

95 = x + 7y

replace x with the price of the canooes
and replace y with the price of the inner tubes

95 = 25 + 7(10)

95 = 25 + 70

and we can see the figures are right because they equal to 95

remember to click good answer