(a) In a class of 80 students,\(\frac{3}{4}\) study Biology and \(\frac{3}{5}\) study Physics. If each...
(a) In a class of 80 students,\(\frac{3}{4}\) study Biology and \(\frac{3}{5}\) study Physics.
If each student studies at least one of the subjects: (i) draw a Venn diagram to represent this information
(ii) how many students study both subjects
(iii) find the fraction of the class that study Biology but not Physics.
(b) Johnson and Jocatol Ltd. owned a business office with floor measuring 15m by 8 m which was to be carpeted.
The cost of carpeting was Gh¢ 890.00 per square metre. If a total of GH 216,120.00 was spent on painting and carpeting, how much was the cost of painting?
Explanation
x = students that study both
(ii) 60- x + x + 48-x=80
x = 108-80
= 28
(iii) Fraction --> (60-28)/80
= 32/80 or 2/5
(b) Area of floor= 15x8= 120m\(^2\)
Cost of carpeting= 120 x GHC 890
= GHC106,800.00
Cost of paining = GHC(216,120 - 106,800)
= GHC109,320.00