Theatre tickets
A theatre sold 120 tickets in total. Adult tickets cost £8 each and child tickets cost £5 each. The theatre took £840 altogether.
How many adult tickets and how many child tickets were sold?
Word Problem
A bridge is built across a river. One quarter of the bridge is over the left bank of the river and one third of the bridge is over the right bank. The river is 120 m wide. How long is the bridge?
Let the number of adult tickets be a
ReplyDeleteLet the number of child tickets be c
First equation:
a + c = 120
Second equation:
8a + 5c = 840
From the first equation:
c = 120 - a
Substitute into the second equation:
8a + 5(120 - a) = 840
8a + 600 - 5a = 840
3a + 600 = 840
3a = 240
a = 80
Now find c:
c = 120 - 80 = 40
Answer:
80 adult tickets
40 child tickets