Question

At the holiday valley ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, how many skis and snowboards were rented?

Answer 1

Answer:

$18$ skis and $10$ snowboards were rented.

Step-by-step explanation:

Let the number of skis rented be $x$ and the number of snowboards rented be $y$.

If a total of $28$ people rented on a certain day, then the total number of skis and snowboards rented that particular day is also $28$.

This gives us the equation

$x+y=28...eqn(1)$.

If skis cost $ $16$, then $x$ number of skis cost $ $16x$.

If snowboards cost $ $19$, then $y$ number of snowboards cost $ $19y$.

The total cost will give us another equation,

$16x+19y=478...eqn(2)$

From equation (1),

$y=28-x...eqn(3)$.

We put equation (3) into equation (2) to get,

$16x+19(28-x)=478$

We expand the brackets to obtain,

$16x+532-19x=478$

We group like terms to get,

$16x-19x=478-532$

This implies that,

$-3x=-54$

We divide both sides by $-3$ to get,

$x=18$

We put $x=18$ into equation (3) to get,

$y=28-18$

$y=10$

Therefore $18$ skis and $10$ snowboards were rented.