SOLUTION: While taking a 4 week holiday, Sarah received a payment of $2444 which represented her holiday loading (17.5%) plus her usual pay over the 4 weeks. Calculate her yearly salary (exc

Question 1184183: While taking a 4 week holiday, Sarah received a payment of $2444 which represented her holiday loading (17.5%) plus her usual pay over the 4 weeks. Calculate her yearly salary (excluding the 17.5% holiday loading).
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the pay for the 4 week period = 2444 * 1.175 * x, where x is her usual pay for the 4 week period.
solve for x to get x = 2444 / 1.175 = 2080 for the 4 week period.
there are 52 weeks in a year.
52 / 4 = 13 four week periods.
13 * 2080 = a yearly salary of 27040 that doesn't include the holiday loading.

17.5% holiday loading means her regular salary for the 4 week period plus 17.5% of her regular salary for the 4 week period that is added on for the holiday.

x = the regular 4 week salary.
x + .175 * x = 2444 = the regular 4 week salary plus the holiday loading.
factor out the x to get x * (1 + .175) = 2444
simplify to get 1.175 * x = 2444
solve for x to get x = 2444/1.175 = 2080.
52 weeks in the year / 4 weeks in the salary period = 52/4 = 13 four week salary periods in the year.
13 * 2080 = 27040 yearly salary.

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