If you spent your entire income, you could afford either 6 units of x and 13 units of y or 13 units of x and 6 units of y.If you spent your entire income on x, how many units of x could you buy?
A)19
B)32
C)24
D)There is not enough information to determine the number of x.
E)None of the above.

Question

Quizplus · Accepted Answer

The problem can be solved by setting up equations based on the given information. Let the price of one unit of x be Px and the price of one unit of y be Py. The total income can be represented in two ways: 6Px + 13Py or 13Px + 6Py. Since both expressions equal the total income, they can be set equal to each other. However, to find how many units of x can be bought with the total income, we don't need to solve for the prices. We can observe that the total number of units (x and y combined) that can be bought in either scenario is 19. Since the question asks for the number of units of x that can be bought with the entire income (assuming the price of x remains constant), and we know the total units of x and y combined that can be bought is 19, the answer is 19 units of x if all income is spent on x.

If You Spent Your Entire Income, You Could Afford Either