Assignment 3 Mat7603

This document provides solutions for Assignment 3 Mat7603. It includes ratios, unknown terms, computations, and answers to various questions. The study material is relevant to the course Mat7603.

Assignment 3 Mat7603
Total Assignment 3 worth 54 marks = 5% of the overall course mark
A. Set up a ratio for each of the following and reduce to lowest terms: (1.5 marks each: Total 3
marks)
1. 15 hours to 3 days
15 :(3∗24)
Simplifying
15 :72
2. $40 per day for 12 employees for 14 days
Wage : Employees :time
40 :12 :14
Simplifying
20 :6 :7
B
A student spends 20 hours per week in classroom lecture time, 45 hour per week in individual
study time, and 5 hours per week travelling to and from school. What is the ratio that exists
between the three times? 2 marks.
Lec ture :Study :traversing
20 :45 :5
Simplifying
4 :9 : 1
C. Find the unknown term in the following proportions. (1.5 mark each: Total 3 marks)
1. n : 7 = 24 : 42
n=24/(42/7)
n =4
2. 4
5 : t = 1
3 : 5
8
t= ((1/3)/ (4/5))/(5/8)
t=2/3
D.

Material cost of a fan belt is five-eighths of the total cost, and labour cost is one-third of material
cost. If labour is $15, what is the total cost of the fan belt? 3 marks.
Cost of a fan belt=5 /8 of total cost
Labour=1/3 of material
Labour=$ 15
Materal=3∗15=$ 45
Total cost=45+15
Cost of fan belt=5 /8∗¿ $ 37.5
E. Compute each of the following: (1 mark each: Total 3 marks)
1. 0.02 % of 360=0.072
2. 0.9 % of 3600=0.0324
3. 3
4 % of 3600=2700
F. Use fractional equivalents to compute each of the following (round to a whole number
(integer)): (1 mark each: Total 2 marks)
1. 114 1/2 % of $460 = $526.7
2. 20 2/3 % of $35 = $7.23
G.
If total deductions on a yearly salary of $22,826 amounted to 15 1
3 %, how much was deducted?
2 marks.
15 1/3%,*$22,826=$3499.98
H.
Jim’s four sons were to share equally in a prize, each receiving $19 each. How much was the
total prize? 1 mark.
Let the prize be X
½ of x =$19
Therefore the price = $38

I.
A company’s bad debt is $16,425 which is 41/2% of sales. What were the company’s sales? 2
marks
41/2%=$16,425
100%=x
X=($16,425*1)/0.045=$365000
J. Answer each of the following questions: (3 marks each: Total 33 marks)
1. How much is $12 increased by 300%?
$12*300%=$36
2. What amount is 13 1
3 % less than $90?
13 1
3 % *90=$12
90−12=$ 78
3. The amount of $100 is what percent more than $40?
(100-40)/40=150%
4. What percent less than $600 is $594?
(600−594)/ 600=1 %
5. The number 110 is 20 1
2 % more than what number?
110*0.795=87.45
6. After an increase of 4%, the new amount is $139. What was the original amount?
104 %=$ 139
100= x
X =(1∗139)/1,04
¿ $ 133.65
7. A retail outlet is offered a discount of 4 1
2 % for payment in cash for an invoice of $912. If
it accepted the offer, how much was the cash payment?
Cash=100 %−4 1
2 %
Therefore=95.5 %∗912=870.96
8. Sales in July increased 15 % over June sales. If July sales amounted to $26,000, what
were June sales?
115 %=$ 26,000

100= x
X =22608.70
9. In Montreal, a car sold for $17,394 including tax of 13%. How many dollars was the tax
on the car?
17,394*0.13=2261-22
10. How many Canadian dollars can you buy for US$650 if one Canadian dollar is worth
US$0.7271?
650/0.7271=CDN $ 893.962
11. What is the price of gasoline per litre in CDN dollars if a US gallon of gasoline costs
US$3.12? One U.S. dollar is worth CDN$1.28 and one U.S. gallon is equivalent to 3.8
litres.
1 gallon=us $ 3.12
1 usd=CDN $ 1.28
Price oa gallon∈CDN $=3.12∗1.28=CDN $ 3.9936