![isalita](/avatars/9305.jpg)
isalita
22.12.2019 •
Mathematics
Justin and lincoln go to the movie theater and purchase refreshments for their friends. justin spends a total of $14.00 on 4 drinks and 4 bags of popcorn. lincoln spends a total of $20.50 on 8 drinks and 3 bags of popcorn. write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. using these equations, determine and state the price of a bag of popcorn, to the nearest cent.
Solved
Show answers
More tips
- A Auto and Moto What is the Average Lifespan of an Engine in a Car?...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- C Computers and Internet How to Choose an Uninterruptible Power Supply (UPS) for Your Computer: Expert Tips...
- S Science and Technology How to choose a home theater system?...
- A Auto and Moto How to Choose a Car Wash? Tips and Recommendations...
- A Animals and plants How ants survive winter: exploring the secrets of their winter life...
- C Construction and repair How to Choose the Best Underfloor Heating?...
- S Sport When is the Champions League final?...
- S Sport When and Where Will the 2014 World Cup be Held?...
Answers on questions: Mathematics
- M Mathematics Me! tommy owns 450 stamps, which one-fourth of the amount that henry owns. how many does henry own?...
- B Biology what is used in facilitated diffusion to move solutes across the membrane that is not used in passive diffusion...
- M Mathematics Write the equation of the line that passes through the point (-5,7) and is parallel to y=4-3x...
- E English 50 points is mayonnaise an instrument...
Ответ:
4d + 4b = 14 and 8d + 3b = 20.50 are the system of equations that can be used to find the price of one drink and the price of one bag of popcorn
Price of one drink is $ 2 and price of one bag of popcorn is $ 1.5
Solution:Let "d" be the price of one drink
Let "b" be the price of one bag of popcorn
Given that Justin spends a total of $14.00 on 4 drinks and 4 bags of popcorn.
So we can frame a equation as:
4 drinks x price of one drink + 4 bags of popcorn x price of one bag of popcorn = $ 14.00
4d + 4b = 14 ------ eqn 1
Given that Lincoln spends a total of $20.50 on 8 drinks and 3 bags of popcorn
So we can frame a equation as:
8 drinks x price of one drink + 3 bags of popcorn x price of one bag of popcorn = $ 20.50
8d + 3b = 20.50 ---- eqn 2
Thus eqn 1 and eqn 2 are the system of equations that can be used to find the price of one drink and the price of one bag of popcorn
Let us solve eqn 1 and eqn 2 to find values of "d" and "b"
Multiply eqn 1 by 2
8d + 8b = 28 --- eqn 3
Substract eqn 2 from eqn 3
8d + 8b = 28
8d + 3b = 20.50
(-) ------------------------
5b = 7.5
b = 1.5Substitute b = 1.5 in eqn 1
4d + 4(1.5) = 14
4d = 8
d = 2Thus price of one drink is $ 2 and price of one bag of popcorn is $ 1.5
Ответ:
The inverse function y =
- 12 is
(x) = ![\sqrt[]{x + 12}](/tpl/images/1793/1087/14fa8.png)
Step-by-step explanation: