For a two-day rental at the surf shop, it costs $45 to rent a surf board and $60 to rent a paddle board. on a certain weekend, the surf shop rented 44 total surf boards and paddle boards and made $2265. how many paddle boards were rented?

Answers

X = surf boards, y = paddle boards

x + y = 44x = 44 - y
45x + 60y = 2265

45(44 - y) + 60y = 2265
1980 - 45y + 60y = 2265
-45y + 60y = 2265 - 1980
15y = 285
y = 285/15
y = 19 <=== there were 19 paddle boards rented

x + y = 44
x + 19 = 44
x = 44 - 19
x = 25and 25 surf boards rented

Step-by-step explanation:

774444444444

25 surf boards and 19 puddle boards were rented.

Step-by-step explanation:

Given,

Rent of each surf board = $45

Rent of puddle board = $60

Total boards rented = 44

Total amount = $2265

Let,

x represent the number of surf boards rented

y represent the number of puddle boards rented

According to given statement;

x+y=44     Eqn 1

45x+60y=2265    Eqn 2

Multiplying Eqn 1 by 45

45(x+y=44)\\45x+45y=1980\ \ \ Eqn\ 3\\

Subtracting Eqn 3 from Eqn 2

(45x+60y)-(45x+45y)=2265-1980\\45x+60y-45x-45y=285\\15y = 285

Dividing both side by 15

\frac{15y}{15}=\frac{285}{15}\\y=19

Putting y=19 in Eqn 1

x+19=44\\x=44-19\\x=25

25 surf boards and 19 puddle boards were rented.

Keywords: linear equation, elimination method

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19 paddle boards were rented.

Step-by-step explanation:

The rent of a surf board is $45

And the rent of a paddle board is $60

Total of paddle board and surf board rented were 44

let the paddle board rented be x

Hence, surf board rented will be 44-x

According to question we are given that 44 both  boards were rented means

45\cdot(44-x)+60\cdot x=2265

1980-45x+60x=2265

On solving the above equation we will get:

15x=285

x=19

\Rightarrow x=19

Hence, 19 the paddle boards were rented.

19 paddle boards were rented.

Step-by-step explanation:

The rent of a surf board is $45

And the rent of a paddle board is $60

Total of paddle board and surf board rented were 44

let the paddle board rented be x

Hence, surf board rented will be 44-x

According to question we are given that 44 both  boards were rented means

45\cdot(44-x)+60\cdot x=2265

1980-45x+60x=2265

On solving the above equation we will get:

15x=285

x=19

\Rightarrow x=19

Hence, 19 the paddle boards were rented.

19 paddle boards

Step-by-step explanation:

19*60=1140

2265-1140=1125

1125/45=25

25+19=44

19 paddle boards

Step-by-step explanation:

19*60=1140

2265-1140=1125

1125/45=25

25+19=44



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