Question

Write and solve an equation to find each solution. solve both with work quick

The Shore family had their bill at a restaurant reduced by $6.00 because of a special discount. They left a tip of $9.00, which was 10% of the reduced amount. How much was their bill before the discount?

Kyle saves 8% of his income for a new car. This year his salary was $2,000 less than in the previous year, and he saved $3,000. What was his salary in the previous year?

Answer 1

Solution to the first problem:

Let x be the original bill before the discount. Then, the reduced amount is x - $6.00.

The tip was 10% of the reduced amount, so:

$9.00 = 0.1(x - $6.00)

Simplifying this equation, we get:

x = $96.00

Therefore, the original bill before the discount was $96.00.

Solution to the second problem:

Let y be Kyle's salary in the previous year. Then, his salary this year is y - $2,000.

Kyle saves 8% of his income for a new car, so:

$3,000 = 0.08(y - $2,000)

Simplifying this equation, we get:

y = $39,500

Therefore, Kyle's salary in the previous year was $39,500.