Question 213285This question is from textbook Structure and Method Book 1
: Todd has 48 words to spell for a puzzle. As an incentive, his mother offers to pay him 10 cents for each word he spells correctly, if Todd will pay her 6 cents for each word he spells incorrectly. If Todd makes $1.92, how many words does he spell correctly?
This question is from textbook Structure and Method Book 1
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Let x= number of words Todd spells correctly
48-x = number of words that he misses
In order to avoid the decimals, let's solve this in "cents". Does that make "cents" to you??? It means that he gets 10 cents for correct words, he pays -6 cents for words missed, and there is a total income of 192 cents. Here is the equation:
10*x -6(48-x) = 192
10x - 288 + 6x = 192
16x- 288=192
16x= 192 +288
16x = 480
x=30 words correct
48-30=18 words missed
Check: 30*$.10 -18*$.06 = &1.92
$3.00-$1.08=$1.92
It checks!!!
If you need additional help with Word Problems, check out my website by doing a "Bing" search for my last name "Rapalje". Look for "Rapalje Homepage" at the top of the search list, and choose the link on my homepage "Basic, Intermediate and College Algebra: One Step at a Time." Click on "Basic Algebra", and you will find a couple of sections near the end of Chapter 1 on "Word Problems". My non-traditional explanation should be easier to understand than your textbook!
R^2
Dr. Robert J. Rapalje, Retired
Seminole Community College
Altamonte Springs Campus
Florida
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