Answer:
The adult ticket costs $18 and the children ticket costs $13.
Step-by-step explanation:
Let the price of the adult ticket be a.
Let the price of the children ticket be c.
Three adults and four children must pay $106. This implies that:
3a + 4c = 106 _______(1)
Two adults and three children must pay $75. This implies that:
2a + 3c = 75 ________(2)
We have two simultaneous equations:
3a + 4c = 106 _____(1)
2a + 3c = 75 ______(2)
Multiply (1) by 2 and (2) by 3 and subtract (1) from (2):
6a + 9c = 225
- <u>(6a + 8c = 212)</u>
c = $13
Put this value of c in (2):
2a + 3*13 = 75
2a + 39 = 75
=> 2a = 75 - 39
2a = 36
a = 36/2 = $18
Therefore, the adult ticket costs $18 and the children ticket costs $13.
Answer:
(-8, 6)
Step-by-step explanation:
Reflecting across x axis = (x, -y)
-(-6) = 6
Answer:
Step-by-step explanation:
Think about it in terms of 4 quarters to equal the dollar. 0.250= 1 quarter (25). The answer is then
Answer:
Step-by-step explanation:
2x + 3y = 4
When y = 34
2x + 3(34) = 4
2x + 102 = 4
2x = 4 - 102
2x = - 98
x = -98/2
x = - 49
<h3>Answer: d. w = -6</h3>
