Lets do this like this:
X = number of quarters and y=number of dimes.
Now, we know that the total number is 35 and that the change adds up to 6.50.
One equation we can form is <span>x+y=35</span>Remember the total number of coins is 35.
The other equation is <span>25x+.1y=6.5</span>Because the number of dimes times their value plus the number of quarters times their value gives us a total of 6.5. Now we can solve for x or y easily in the first equation.
Solving for y like this:<span>y=35−x</span>We can substitute this into the other equation to obtain<span>.25x+.1(35−x)=6.5</span>This simplifies to<span>.15x+3.5=6.5</span><span>.15x=3</span><span>x=<span>20
I hope this can help you indeed</span></span>
Answer:
The price of an adult ticket is $9 and the price of a student ticket is $6
Step-by-step explanation:
Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:
2x + 7y = 60
3x + 11y = 93
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:
6x + 21y = 180
-6x - 22y = -186
Add them together:
-y = -6
y = 6
Then, plug in 6 as y into one of the equations to solve for x:
2x + 7y = 60
2x + 7(6) = 60
2x + 42 = 60
2x = 18
x = 9
So, the price of an adult ticket is $9 and the price of a student ticket is $6
Answer:
Yes, they are congruent
Step-by-step explanation:
Yes, they are congruent because all the side and angle lengths are congruent.
