![mileskamron979](/avatars/18925.jpg)
mileskamron979
22.09.2019 •
Mathematics
Troy and lisa were shopping for school supplies. each purchased different quantities of the same notebook and thumb drive. troy bought 4 notebooks and 13 thumb drives for $254. lisa bought 5 notebooks and 8 thumb drives for $169. find the cost of each notebook and each thumb drive.
Solved
Show answers
More tips
- S Style and Beauty Learn how to tie a keffiyeh on your head like a pro...
- S Style and Beauty How to braid friendship bracelets?...
- F Food and Cooking Delight for Gourmets: How to Prepare Liver Pate...
- C Computers and Internet How to Learn to Type Fast?...
- H Health and Medicine Angina: Causes, Symptoms, and Treatment...
- D Dating, Love, Relationships How to Overcome Jealousy: Tips and Tricks...
- H Health and Medicine 10 Ways to Cleanse Your Colon and Improve Your Health...
- W Work and Career How to Start Your Own Business: Tips and Recommendations...
- F Food and Cooking How to Make Delicious Cabbage Pies: The Best Recipes!...
- F Food and Cooking Discover Delicious Recipes You Can Make with Ground Meat...
Answers on questions: Mathematics
- M Mathematics 4x^3-21x-10 using synthetic division ?...
- B Business Phi Beta Lambda (PBL) serves which group of students? A- high school students B- middle school students C- Elementary school students D- College students...
- M Mathematics Which expression is equivalent to 12x + 3y - 93 ?...
- M Mathematics A colony of bacteria is growing at a rate of 50% per hour. If this rate of growth remains the same and the colony starts with 100 bacteria, approximately how many bacteria...
Ответ:
The cost of each notebook is $5
The cost of each thumb drive is $18
Step-by-step explanation:
We solve this problem by the system of equations
Equation for Troy and equation for Lisa and then solve the two
equations simultaneous using the elimination method
Assume that the price of one notebook is $x and the price of one
thumb drive is $y
Troy bought 4 notebooks and 13 thumb drives for $254
∴ 4 x + 13 y = 254 ⇒ (1)
Lisa bought 5 notebooks and 8 thumb drives for $169
∴ 5 x + 8 y = 169 ⇒ (2)
To solve the equation multiply equation (1) by 5 and equation (2) by -4
to eliminate x
∵ 20 x + 65 y = 1270 ⇒ (3)
∵ -20 x - 32 y = -676 ⇒ (4)
Add equations (3) and (4)
∴ 33 y = 594
Divide both sides by 33
∴ y = 18
Substitute the value of y in equation (1) or (2) to find x
∴ 4 x + 13(18) = 254
∴ 4 x + 234 = 254
Subtract 234 from both sides
∴ 4 x = 20
Divide both sides by 4
∴ x = 5
x represents the cost per notebook and y represents the cost per
thumb drive
The cost of each notebook is $5
The cost of each thumb drive is $18
Ответ: