Answer: 30.5 and 35.5
Step-by-step explanation:
We can use a system of linear equations to find out the answer to this problem. The larger number will be x and the smaller number will be y.
x=y+5
x+y=66
Substitute y+5 in for the bottom equation to get y+5+y=66. Simplify to get 2y+5=66. Subtract 5 from both sides and get 2y=61. Divide by 2 to get y=30.5. This is the smaller number. Add 5 to get the bigger number, which is 35.5
Answer:
3/8 = 9/24
Step-by-step explanation:
So here we have a basic multiplication problem and finding the LCM of 8 and 3. The first step in this problem is finding the LCM of 3/8. The LCM of 3 and 8 is 24. So yay! we have the bottom half of our answer!
Ex.-
The LCM of 8 and 3 is 24.
So now we have to find an equivalent fraction. Since we already know that 8 (the denominator in the original equation) can be multiplied by 3 to equal 24, we use 3 (the numerator in the original equation) and multiply it by itself to get an equivalent fraction.
Ex.-
8 x 3 = 24
3 x 3 = 9
Now that we have our numerator and denominator, all we have to do now is put them together to get our answer.
Ex.-
9/24 (answer) = 3/8 (original equation)
Hopefully I could help! :)
Answer:
Advance ticket costs $25
Same-day ticket costs $20
Step-by-step explanation:
Let x = the price of one the advance ticket.
Let y = the price of one same-day ticket.
The combined cost of one advance ticket and one same-day ticket is $ 45. This means
x + y = 45 - - - - - - 1
For one performance, 30 advance tickets and 20 same-day tickets were sold. The total amount paid for the tickets was $ 1150. This means
30x + 20y = 1150 - - - - - - - - -2
From equation 1, x = 45- y
Put x = 45- y in equation 2
30( 45-y) + 20y = 1150
1350 - 30y + 20y = 1150
-10y = 1150-1350
-10y = -200
y = 200/10 = $20
x = 45-y
x =45-20= $25
Advance ticket costs $25
Same-day ticket costs $20
