Question

2. Set up a ratio to represent the following: One-half of an hour (hours) to 18 minutes (Hint: hour: hour or minute : minute) 3. The cost of a unit is made up of $120.00 direct material cost, $80.00 direct labour cost, and S20.00 overhead. What is the ratio that exists between the three elements of cost? 4. Departments A, B, and C occupy floor space of 310, 120 and 475 square meters respectively. If the total rental for the space is $38 225.00 per month, how much rent should be paid by Department B? 5. The cost of operating the Repair Department is to be allocated to four production departments based on the floor space each occupies. Department A occupies 1100 m; Department B, 660 m; Department C, 880 m; and Department D, 440 m. If the July cost was $24,000, how much of the cost of operating the Repair Department should cach production department absorb? 6. Carol, Clara and Nancy decide to buy LOTTO 649 tickets, agreeing to share any winnings in a ratio of which is in the same ratio as they spent on tickets. If they end up winning $1147.00, calculate how much each should receive from the winnings. 7. Lorraine, Estelle, and Frances own a business jointly and share profits and losses in the same proportion as their investments. How much of a profit of S14 500 will each receive if their investments are $14 000, S16 000, and $15 000 respectively? 8. Four beneficiaries are to divide an estate of $289 000 in the ratio. How much should each receive? 9. Students, A, B, and C occupy floor space of 50 m, 70 m, and 80 m, respectively. If the total rental for the space is $1000 per month, how much rent should student A pay? 10. Solve: n : 6 = 24:42 11. Solve: 7: n=35:21 12. Solve: 7:5=x: 40 13. 165% of what amount is $370? 14. 225% of what amount is $310? 15. $170 is what percent of $80? 16. What percent of S62.50 is $11.25? 17. Overhead content in an article is % of total cost. How much is the overhead cost if the total cost is $72?

Answer 1

2	one-half of an hour=0.50 hours=30 minutes
	18 minutes=18/60=0.30 hours
	Ratio
	30:18	or	0.50:0.30
3	Ratio=120:80:20
	To simplify divide the numbers by 20
	Ratio=120/20:80/20:20/20=6:4:1
4	Rent absorbed by Department B=Total rental*(floor space of department B/Total floor space for all departments)=38225*[120/(310+120+475)]=38225*(120/905)=$ 5068.508
5	Cost of operating absorbed by each department=Cost of operating*(Floor space of the department/Total floor space of all departments)
	Total floor space of all departments=1100+660+880+440=3080
	Department A=24000*(1100/3080)=$ 8571.429
	Department B=24000*(660/3080)=$ 5142.857
	Department C=24000*(880/3080)=$ 6857.143
	Department C=24000*(440/3080)=$ 3428.571