Q39. - Algebra 2

Question

All $28$ members in Crestview High School’s Ski Club went on one-day ski trip. Members can rent skis for $\backslash ( 16.00$ per day or snowboards for $\backslash ) 19.00$ per day. The club paid a total of $\$ 478$ for rental equipment.

Write a system of equations that represents the number of members who rented the two types of equipment.

Step-by-Step Solution

Answer

The equations so formed for the given question is  $\begin{array}{c}x+y=28\\ 16x+19y=478\end{array}$

Step-1 – Apply the concept of system of equations

A set of two or more equations with the same variables is called a system of linear equations. The ordered pairs that satisfy all the equations in the system is called as solution of the equations.

Step-2 – Formation of the equations

Let us suppose the number of members that rented skis be x and the number of members that rented snowboards be y.

Now according to the question, the total number of members that went on the trip are $28$.

The first equation so formed is below.

$x+y=28$

Step-3 – Formation of the equations

Consider the second statement.

The club paid a total rent of $\$ 478$ which is mathematically expressed in the equation as shown.

$16x+19y=478$

Hence, both the equations so formed for the given question are .

$\begin{array}{c}x+y=28\\ 16x+19y=478\end{array}$