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demarcuswiseman
08.03.2020 •
Mathematics
Tim bought 3 hamburgers and 4 hot dogs for $19. John bought 5 hamburgers and 2 hot dogs for $20. How much is one hot dog and one hamburger each?
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Ответ:
Work Shown:
x = cost for one hamburger
y = cost for one hot dog
3x = cost for 3 hamburgers
4y = cost for 4 hot dogs
3x+4y = total cost for 3 hamburgers, 4 hot dogs
3x+4y = 19
5x = cost for 5 hamburgers
2y = cost for 2 hot dogs
5x+2y = total cost for 5 hamburgers, 2 hot dogs
5x+2y = 20
The equations we have set up are
3x+4y = 19
5x+2y = 20
If we multiply everything in the second equation by 2, then we have 5x+2y = 20 turn into 10x+4y = 40
So we have this equivalent system
3x+4y = 19
10x+4y = 40
Subtract straight down to get -7x = -21 which solves to x = 3.
use the value of x to find y
3x+4y = 19
3*3+4y = 19
9+4y = 19
4y = 19-9
4y = 10
y = 10/4
y = 2.50
Ответ:
Answers will vary
Step-by-step explanation:
There are many possibilities, especially if you're going beyond whole numbers, meaning decimals work as well
Whole numbers
1 and 28
2 and 14
4 and 7
Decimals
3 and 9.33 or 9 1/3
5 and 5.6
6 and 4.67 or 4 2/3
8 and 3.5
9 and 3.11
10 and 2.8
These are just a few simple ones, it gets even more complicated if you have two numbers both with decimals