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, t

Question

3 years ago

15

he surf shop rented 44 total surf boards and paddle boards and made $2265. How many paddle boards were rented

1 answer:

Masja [62] · Answer 1 · 2022-06-02T23:26:06+03:00

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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