At the movie theater, child admission is $5.50 and adult admission is $8.60. On Saturday, 137 tickets were sold for a total sale
of $986.00. How many child tickets were sold that day?
1 answer:
Answer:
The number of child tickets were sold is 75
Step-by-step explanation:
Given as :
The price of tickets for child admission = $5.50
The price of tickets for adult admission = $8.60
The total numbers of tickets sold = 137
The total price of tickets sold = $986.00
Let The number of tickets for child = C
The number of tickets for adults = A
So, According to question
A + C = 137
And 5.50 A + 8.60 C = 986
Solve the above equation
5.5 A + 5.5 C = 137 × 5.5
or, 5.5 A + 5.5 C = 753.5
Or, ( 5.5 A + 8.6 C) - ( 5.5 A + 5.5 C) = 986 - 753.5
Or, (5.5 A - 5.5 A) + (8.6 C - 5.5 C) = 232.5
Or, 0 + 3.1 C = 232.5
∴ C = = 75
And A = 137 - C = 137 - 75 = 62
Hence The number of child tickets were sold is 75. Answer
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By running in a bearing of 127°, Paul motion is in the south eastern direction.
Correct responses:
a. Please find attached the required diagram created with MS Visio
b. Paul's distance travelled east is approximately 11.98 km
- Paul's distance travelled south is approximately 0.903 km
Given:
The distance Paul runs = 1.5 km
The bearing Paul is running = 127°
a. The bearing of path Paul runs, 127°, is the angle measured in the clockwise direction relative to the northern direction
Please find attached the diagram representing the situation, created with MS Visio.
b. Paul's distance travelled east relative to the starting point is given by the component of Paul's path in the x-axis direction which is found as follows;
- Paul's distance east = 15 km × cos(37°) ≈ <u>11.98 km</u>
Pau's distance travelled in the south direction relative to the starting point
is given by the vertical distance travelled relative to the x-axis, which is
given as follows;
Distance Paul travels south = 1.5 km × sin(37°) ≈ <u>0.903 km</u>
Learn more about bearings in trigonometry here:
