If we let Q be the number of quarters and N be number of nickels, this is the formula we would use:
[1] 25Q + 5N = 635 (using cents instead of dollars)
We also know something about Q and N.
[2] Q + N = 51
So multiply both sides of the second equation by 5. The reason we do this is because we're going to need to cancel out one of the variables (either Q or N) to solve for the other one. If we multiply times 5, we'll have 5N in both equations.
5Q + 5N = 255
Now we have two equations, and the second one can be subtracted from the first.
25Q + 5N = 635
-(5Q + 5N) = -255
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20Q = 380
so
Q = 19
There are 19 quarters.
And since there are 51 coins in all, 51-19 = 32 nickels.
Answer: 10 cats
Step-by-step explanation:
3/2
15/x
3*5=15
2*5=10
3/2=15/10
Answer:
b .because the surface area of the sandwich
9514 1404 393
Answer:
- s + a = 250
- 3s + 5a = 1050
Step-by-step explanation:
Let s and a represent the numbers of student and adult tickets sold. The system of equations that can be written from the given information is ...
s + a = 250 . . . . . . total of tickets sold
3s +5a = 1050 . . . dollar value of tickets sold
_____
The solution is (s, a) = (100, 150). 100 student tickets and 150 adult tickets were sold.
