(a)
To interpret: The expression
(a)

Answer to Problem 20PPE
The expression
Explanation of Solution
Given:
The prices of clothing are mentioned below in Table 1.
Shorts | Polos | T-shirts |
$16.99 | $17.99 | $15.99 |
$14.99 | $13.99 | $11.99 |
Table 1
The expression is
As per the given information, there are three types of clothing shorts, polos and T shirts.
In the first term of the given expression, the cost of a polo is 17.99. Therefore, the cost of 5 polos is
In the second term of the given expression, the cost of a T-shirts is 11.99. Therefore, the cost of 2 T-shirts is
In the third term of the given expression, the cost of a shorts is 14.99. Therefore, the cost of 7 shorts is
Total cost of 5 polos, 2 T-shirts and 7 shorts is the sum of
Therefore, the expression
(b)
To find: The three different expression for 8 pairs of shorts and 9 tops and evaluate the expressions.
(b)

Answer to Problem 20PPE
The three different expressions for shorts and tops are
Explanation of Solution
Given:
The prices of clothing are mentioned below in Table 1.
Shorts | Polos | T-shirts |
$16.99 | $17.99 | $15.99 |
$14.99 | $13.99 | $11.99 |
Table 1
Calculation:
Consider the first situation if the person wants to buy 8 shorts at $16.99 and 4 tops at $17.99 and 4 at $13.99.
The expression for the first situation is
Consider the second situation if the person wants to buy 4 shorts at $16.99, 4 shorts at $14.99 and 4 tops at $17.99 and 4 at $13.99.
The expression for the first situation is
that can be calculated as follows:
Consider the third situation if the person wants to buy 4 shorts at $16.99, 4 shorts at $14.99 and 8 tops at $17.99.
The expression for the first situation is
that can be calculated as follows:
Conclusion:
Thus, the three different expressions for shorts and tops are
(c)
To find: The largest and smallest amount of money can be spent on the 8 shorts and 8 tops if
(c)

Answer to Problem 20PPE
The greatest amount to pay is
Explanation of Solution
Calculation:
The largest amount of money can be spent on 8 shorts and 8 tops if the person buys the most expensive shorts and tops.
The expensive price for top is $16.99 and for shorts is $17.99.
Calculate the price for 8 shorts and 8 tops.
Now apply
Now find the actual amount that has to pay to seller.
The smallest amount of money can be spent on 8 shorts and 8 tops if the person buys the cheapest shorts and tops.
Calculate the price for 8 shorts and 8 tops.
Now apply
Now find the actual amount that has to pay to seller.
Therefore, the greatest amount to pay is
Conclusion:
Thus, the greatest amount to pay is
Chapter 1 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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