Hello!
Let 'a' stand for adult tickets and 'c' for children tickets.
a + c = 15
(Both adult and children tickets make up a total of 15 tickets).
30a + 20c = 330
a = 3
c = 12
A N S W E R:
William bought 3 adults tickets and 12 children's tickets.
First, we need to add 2/6 and 2/5.
2/6 can be simplified to 1/3
We need to have 1/3 and 2/5 have the same denominator. 3 and 5's LCM (least common multiply) is 15.
Multiply both the numerator and denominator of 1/3 by 5. This equals 5/15.
Multiply both the numerator and denominator of 2/5 by 3. This equals 6/15.
5/15 plus 6/15 is 11/15. This means that Jack's 6000 dollars is 4/15.
Let's say that x is the total amount invested by all three.
6000/x would equal 4/15.
Solve this by multiply 6000 by 15 and 4 by x and making these two equal each other.
90000 would equal 4x. Divide both sides by 4 to get x.
90000 divided by 4 would be 22500.
4/15 is the fraction by Jack
22500 is the total amount invested by all 3
Sarah will need 1/4 cup of blueberries to make a cup of jam.
Answer:
I think its 80 for both. .,.
Hola,
Goodluck! Z:
Answer:
Full question attached below.
Yes, the system of equations on line 4 has the same solution set as the system of equations on line 1
Step-by-step explanation:
There is no difference between the systems of line 1 and 4
1st system
5x + 3y = 14
4x - 2y = -2
4th system
10x + 6y = 28
12x - 6y = -6
In the fourth system, we factor number 2 from the first line, and number 3 from the second line
4th system
2[5x + 3y] = 2[14]
3[4x - 2y] = 3[-2]
If we simplify,
4th system
[5x + 3y] = [14]
[4x - 2y] = [-2]
We get the same system as the 1st
Therefore, the solution is the same.
