# TSI Math: Calculating Ellie's Original Wages After Three Raises

Ellie has been working the same job for the past three summers. Each summer, she's earned a 10% raise. Her current wage is $16 per hour. What was her hourly wage three summers ago?

Elementary Algebra and Functions | Word Problems and Applications |

Mathematics and Statistics Assessment | Word Problems and Applications |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Elementary Algebra and Functions |

TSI Mathematics | Elementary Algebra and Functions |

Test Prep | TSI |

### Transcript

ago Well let's see let's let x be eli's original

hourly wage which we don't know yet when she first

began working right someone's got to pay the rent for

mom You know she's off gallivanting All right well after

eli's first ten percent raise her new wage became acts

that old wage plus point one ex writer one point

one x and then each raise multiplies her Hey by

one point one kind of compounds away right So since

she had three raises while the equations here one point

one time one point one one point one times x

is sixteen so we got one point three three one

x equals sixteen and we've gotta divide both sides by

one point three three one and we get well Acts

equal 16 of our hand and that's twelve point o

too So eli's hourly wage three summers ago was twelve

point Oh too And well the answer there is a

and the finance e way to do this would have

just been to take her current number sixteen dollars figure

Put it in the numerator and divide by the number

of previous years Calm pounded that you're going to do

discount that money back to it's a discounted cash flow

trick and that would have been one point One two

The third power gets you the same answer but looks

way cooler on a test All right that's it it's 00:01:37.124 --> [endTime] a twelve oh two