maskythegamer
02.12.2019 •
Mathematics
Jason and henry go to the movie theater and purchase refreshments for their friends.
jason spends a total of $66.75 on 12 drinks and 1 bag of popcorn.
henry spends a total of $82.50 on 3 drinks and 10 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 drink, to the nearest cent.
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Ответ:
Part 1) The system of equations is equal to
12x+y=66.75
3x+10y=82.50
Part 2) The cost of one drink is $5
Step-by-step explanation:
Part 1) Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn
Let
x> the price of one drink
y > the price of one bag of popcorn
we know that
Jason
12x+y=66.75 > equation A
Henry
3x+10y=82.50 > equation B
Part 2) Using these equations, determine and state the price of a drink, to the nearest cent
12x+y=66.75 > equation A
3x+10y=82.50 > equation B
Solve the system of equations by elimination
Multiply the equation A by -10 both sides
-10*(12x+y)=66.75*(-10)
-120x-10y=-667.5 > equation C
Adds equation B and C and solve for x
3x+10y=82.50
-120x-10y=-667.5
3x-120x=82.50-667.5
120x-3x=667.50-82.50
117x=585
x=5
therefore
The cost of one drink is $5
Ответ:
Data:
ratio=189 miles/3 hours=63 miles/hours
Time=5 hours
distance=(63 miles/hours)(5 hours)=315 miles.
315 miles