Answer:
(a) Arts take longer
(b) By 2/9 hours
Step-by-step explanation:
Given
Arts = four over nine hours
Maths = two over nine hours
Solving (a): Which takes longer?
First, represent both as fraction
Convert fraction to decimal
By comparison:
Hence, Arts take longer
Solving (b): How much longer?
To do this, we calculate the difference.
Take L.C.M
To solve, you would need to make two equations and substitute one in for the other. Let a = # of adults, and c = # of children
5a + 2c = 1,220
a + c = 295
a + c = 295
-c -c
a = 295 - c
5(295 - c) + 2c = 1,220
1,475 - 5c + 2c = 1,220
1,475 - 3c = 1,220
1,475 - 3c = 1,220
-1,475 -1,475
-3c = -255
-3c/-3 = -255/-3
c = 85
a + c = 295
a + 85 = 295
-85 -85
a = 210
210 adults attended the dance recital
Hope this helps!
Answer:
all work is shown and pictured