Answer: There are 97 nickels and 108 quarters.
Step-by-step explanation:
Let x = Number of nickels, y = Number of quarters.
As per given,
x+y = 205 ...(i)
0.05x+0.25y = 31.85 ... (ii) [1 nickel = $0.05, 1 quarter = $ 0.25]
Multiply (ii) by 20, we get
x+5y=637 ...(iii)
Eliminate (i) from (iii)
4y = 432
⇒ y = 108 [Divide both sides by 4]
Put value of y in (i), we get

Hence, there are 97 nickels and 108 quarters.
Answer:
It will take 5 hours for the bakery to bake 1000 loaves.
Answer:
3. The first equation can be multiplied by 3 and the second equation by 2.
Step-by-step explanation:
2 x + 3 y = 25 (1)
-3 x + 4 y = 22 (2)
Multiply equation (1) by 3 and (2) by 2.
3(2x) = 6x
2(-3x) = -6x
When you add the two equations, x will get cancelled last
Given:
Christopher scores 2 goals in a soccer game.
His goal total can vary from the average by 1 goal.
To find:
The absolute value equation can be used to calculate Christopher's maximum and minimum goals per game.
Solution:
Let Christopher scores x goals in a soccer game.
Then difference between actual goals and average goals is x-2.
His goal total can vary from the average by 1 goal.
Maximum number of goals = 2+1 = 3
Minimum number of goals = 2-1 = 1
It means, the difference between actual goals and average goals is either -1 and 1.
...(1)
...(2)
Using (1) and (2),we get

Therefore, the correct option is C.
Answer:

Step-by-step explanation:


Hope this helps!