Concept explainers
To find: all possibilities for the number of each type of coin he could have.
Answer to Problem 3P
2 dims and 3 quarters or 7 dimes and 1 quarter together make up a value of 95 cents.
Explanation of Solution
Given information: Luis has 95 cents in dimes and quarters.
Calculation:
Let the number of dimes be x and quarters be y , then the equation of their total value becomes:
Solve for y.
Graph the equation and mark whole number combinations of x and y because the coin can only be in whole numbers and not in decimal numbers, therefore:
It can be seen that only ordered pairs (2, 3) and (7, 1) are combination of ( x,y ) where both are whole numbers: It can therefore be concluded that 2 dims and 3 quarters or 7 dimes and 1 quarter together make up a value of 95 cents.
Chapter 3 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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