Answer: 74 adult tickets were sold on Wednesday.
Step-by-step explanation:
Let x represent the number of child admission tickets sold on Wednesday.
Let y represent the number of adult admission tickets sold on Wednesday.
On Wednesday, 128 tickets were sold. It means that
x + y = 128
At the movie theatre, child admission is $6.40 and adult admission is $9.70. The total ticket sales on Wednesday was $1063.40. It means that
6.4x + 9.7y = 1063.4- - - - - - - - - - 1
Substituting x = 128 - y into equation 1, it becomes
6.4(128 - y) + 9.7y = 1063.4
819.2 - 6.4y + 9.7y = 1063.4
- 6.4y + 9.7y = 1063.4 - 819.2
3.3y = 244.2
y = 244.2/3.3
y = 74
x = 128 - y = 128 - 74
x = 54
Check the picture below.
now, the midsegment of a triangle, besides being half the base, we have to bear in mind that is a "mid" segment, is a segment that lies half-way along the segments it touches.
so for the triangle above, well, the midsegment DE is cutting the segment BC it two equal halves, BE and EC, that means that
.
Answer:
Cost increases to $330.
The percent increase here would be:
= (New price - Old price )/ Old price
= (330 - 250) / 250
= 0.32
= 32%
Cost increases to $330 and charges $50 baggage fee
= (New price - Old price )/ Old price
= (330 + 50 - 250) / 250
= 0.52
= 52%