you are at the music store looking for CDs. the store has CDs for $10 and $15. you have $55 to spend. write an equation that represents the different numbers of $10 and $15 CDs you can buy.
hmm now.. how do i do this?
your equation will be
10x + 15y = 55 or
2x + 3y = 11 or 2x = 11 - 3y
now we want only positive integer values of x and y.
clearly x < 6 and y < 4
Furthermore, if y is even, 11 - 3y will be odd, therefore x cannot be an integer.
So y has to be odd, and less than 4
Mmmm now, what do you think?
thank you very much!! xx (=
To determine the number of $10 and $15 CDs you can purchase and write an equation for it, you need to break down the problem into mathematical terms.
Let:
x = the number of $10 CDs you want to purchase
y = the number of $15 CDs you want to purchase
The equation should represent the total cost of the CDs you buy, which should be equal to the amount of money you have. In this case, you have $55 to spend.
The cost of each $10 CD is $10, and the cost of each $15 CD is $15. So the equation can be written as:
10x + 15y = 55
This equation states that the total cost of the $10 CDs (10x) plus the total cost of the $15 CDs (15y) should equal $55. Solving this equation will give you the values of x and y, representing the different numbers of $10 and $15 CDs you can buy.