
Concept explainers
(a)
To find: The number of drinks was sold.
(a)

Answer to Problem 55PPS
The person sold 325 medium drinks, 650 small drinks and 410 large drinks.
Explanation of Solution
Given,
The number of drinks is expressed as,
x+2x+y=13853x+y=1385
Here, x is the number of medium drinks, 2x is the number of small drinks and y is the number of large drinks.
The total sales is written as,
1.75x+1.15(2x)+2.25y=2238.754.05x+2.25y=2238.75
Calculation:
Calculate the value of x using the Cramer’s rule.
x=|138512238.752.25||314.052.25|=1385(2.25)−(2238.75)(1)3(2.25)−4.05(1)=877.52.7=325
Calculate the value of y using the Cramer’s rule.
y=|313854.052238.75||314.052.25|=3(2238.75)−4.05(1385)3(2.25)−4.05(1)=11072.7=410
Thus, the person sold 325 medium drinks, 650 small drinks and 410 large drinks.
(b)
To find: The sale for that week.
(b)

Answer to Problem 55PPS
The sale for that week is $2426.25.
Explanation of Solution
Calculate the total sale for that week.
Total sales=sale of small drink+same of medium drink+sale of large drink=1.25(650−140)+1.75(325+125)+2.25(410+35)=637.50+787.50+1001.25=$2426.25
Thus, the sale for that week is $2426.25.
(c)
To find: The reason whether it was a good business move for the vendor to raise the price of small drink.
(c)

Answer to Problem 55PPS
Yes, it was a good move to raise the price of small drink.
Explanation of Solution
It was good move to raise the price of small drink for the vendor as he sold 140 smaller drinks, so that he sold 125 medium drinks more and 35 large drink more.
So, he made the profit of $187.50.
Chapter 4 Solutions
Algebra 2
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