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Wednesday, July 5, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING - ps013

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1. A motorcycle parts store in Quebec has a monthly raffle to boost their sales. Every $100 purchased is worth one ticket. In a certain month, 

Gatineau customers have 250 tickets, 

Sherbrooke has 170, 

Tadoussac has 180, 

Rimouski has 160, and 

Laval has 190 tickets. 

What is the probability that a winner from Laval will win the monthly raffle?


a. 19/100

b. 3/14

c. 1/6

d. 1/5  --- answer 


Solution: 


step1: 

solve for the total number of tickets 


Gatineau = 250 

Sherbrooke = 170

Tadoussac = 180  Rimouski = 160 

Laval = 190


Total tickets 

= 250 + 170 + 180 + 160 + 190 

= 950 tickets 


step2: 

solve for Laval winner probability 


Laval probability 

= 190/950

= 19 x 10 / 19 x 50

= 10/50 

= 1/5




2. Maria paid $15.98  for  16 bananas and  8 avocados at Thrifty Foods store. Peter paid $6 for 5 avocados in the same store. How much did Maria pay for  bananas  and what is the cost of banana per piece?


A. $4.80, $0.3

B. $8.36, $0.5

C. $6.38, $0.4  -- answer 

D. $9.38, $0.6


Answer:  C


Solution:


Let 

a = avocado cost paid by Maria 


b = banana cost paid by Maria 



step1: equation 1

formulate equation 1

using Maria's purchase 


15.98 = a + b



step2: 

solve avocado cost using Peter's purchase


Peter paid $6 for 5 avocados 


Avocado cost 

= $6/5 pieces

= $1.20 per piece



step3: 

solve for  avocado  cost paid by Maria 


Maria bought 

8 avocados


a = 8 x $1.20/piece

a = $9.60



step4: 

substitute the value of  a  in  step3   into   

equation 1


15.98 = a + b 

15.98 = 9.60 + b

b = 15.98 - 9.60

b = $6.38



step5: 

solve for  the cost of banana per piece


Maria bought 16 bananas


cost of banana per piece

= $6.38/16

= $0.40 per piece 


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