Question

Every year a man is paid $500 more than the previous year. If he receives $17800 over four years, what was he paid in the first year

Answer 1

The amount paid to the man in the first year given the total he received in four years is $3,700.

Equation

• Amount paid in the first year = x
• Amount paid in the second year = (x + 500)
• Amount paid in the third year = x + 500 + 500

= (x + 1000)

• Amount paid in the fourth year = x + 500 + 500 + 500

= (x + 1500)

• Total payment = $17800

Total payment = first year + second year + third year + fourth year

x + (x + 500) + (x + 1000) + (x + 1500) = 17,800

• open parenthesis

x + x + 500 + x + 1000 + x + 1500 = 17800

• collect like terms

4x + 3000 = 17,800

4x = 17,800 - 3000

4x = 14,800

• divide both sides by 4

x = 14,800/4

x = $3,700

Therefore, $3,700 was paid to the man in the first year.

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