Story word Problem: linear equation

A salesperson earns $200 per week in base pay plus one-twentieth of his/her dollar sales volume. Find the salesperson’s dollar sales volume if he/she earned $785 for the week (before taxes).

Let x be the person's sales volume.

Let y the total money that he makes weekly

y = (1/5)* x + 200

Substitute 785 for y and solve for x.

785 = (1/5)* x + 200

Subtract 200 from both sides of the equations.

785 - 200 = (1/5) * x + 200 - 200

585 = (1/5) * x

Multiply both sided by 5

585 * 5 = 5 * (1/5) * x

2925 = 1 * x

2925 = x

The sales volume is $2935