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
[tex]45(x+y=44)\\45x+45y=1980\ \ \ Eqn\ 3\\[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](45x+60y)-(45x+45y)=2265-1980\\45x+60y-45x-45y=285\\15y = 285[/tex]
Dividing both side by 15
[tex]\frac{15y}{15}=\frac{285}{15}\\y=19[/tex]
Putting y=19 in Eqn 1
[tex]x+19=44\\x=44-19\\x=25[/tex]
25 surf boards and 19 puddle boards were rented.
Keywords: linear equation, elimination method
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