Answer:
Keisha bought 3 sandwiches and 5 lemonades.
Equations: x + y = 8 2x + y = 11
Step-by-step explanation:
To solve a problem with two variables, you need to set up a system of equations comparing the two variables and solve using either substitution or elimination. If 'x' represents the number of sandwiches and 'y' represents the number of lemonades, then x + y = 8 because they bought a total of 8 items. Also, the cost of each item is given as well as the total amount of money spent. So, our second equation is: 2x + y = 11. We can use inverse operations to solve for 'y' in the first equation: x + y - x = 8 - x which simplifies to: y = 8 - x. We can then use this expression to substitute in for the variable 'y' in the second equation: 2x + 8 - x = 11.
Combine like terms: x + 8 = 11
Inverse Operations: x +8 - 8 = 11 - 8
Solve: x = 3, so Keisha bought 3 sandwiches
Solve for y: y = 8 - 3 = 5, so Keisha bought 5 lemonades
Answer:
The answer to your question is 14.5 weeks
Step-by-step explanation:
Data
Total cost = C = $87
money earned = m = $6
Number of weeks to have the money = w = ?
Process
1.- Write an equation that represents the situation
Weeks = Total cost / Money earned
w = C/m
2.- Substitute the values
w = 87 / 6
3.- Result
w = 14.5
4.- Conclusion
Niki will last 14.5 weeks to have enough money to buy a dog bed.
Answer:
The second and the third one
Step-by-step explanation:
Answer:
y= 6
Step-by-step explanation:
1. Rearrange the terms before the equal sign: 14+y=3y+2-> y+14=3y+2
2. Subtract 14 from both sides: y+14=3y+2-> y=3y-12
-14 -14
3. Subtract 3y from both sides: y=3y-12-> y-3y= -12
-3y -3y
4. Combine like terms: y-3y= -12-> -2y= -12
1-3 keep the y
5. Divide both sides by -2: -2y= -12-> y= 6
/2 /2
6. So, you're left with y= 6
