Austin spent an equal amount of money on 5 DVDs and 7 CDs. Each DVD cost 30 cents more than each CD. How much did Austin spend altogether?
correct until the last line.
7x+5(x+30) =
7*75 + 5*105 = 525+525 = $10.50
Let's start by figuring out the cost of each CD. Let's call the cost of each CD "x". Since each DVD cost 30 cents more than each CD, the cost of each DVD would be "x + 0.30".
Austin bought 7 CDs, so the total cost of the CDs would be 7x.
Austin also bought 5 DVDs, so the total cost of the DVDs would be 5(x + 0.30) = 5x + 1.50.
To find out how much Austin spent altogether, we add the cost of the CDs and the cost of the DVDs:
Total Cost = Cost of CDs + Cost of DVDs
Total Cost = 7x + (5x + 1.50)
Total Cost = 7x + 5x + 1.50
Total Cost = 12x + 1.50
So, Austin spent a total of 12x + 1.50.
To find out how much Austin spent altogether, we need to determine the cost of each DVD and each CD, and then calculate the total amount spent on both.
Let's start by assuming the price of each CD as "x" dollars. Since each DVD costs 30 cents more than each CD, the price of each DVD would be "x + 0.30" dollars.
Now, let's calculate the total cost of the CDs. Since Austin bought 7 CDs and each CD costs "x" dollars, the total cost of CDs would be 7x dollars.
Next, let's calculate the total cost of the DVDs. Austin bought 5 DVDs and each DVD costs "x + 0.30" dollars. So, the total cost of DVDs would be 5(x + 0.30) dollars.
Finally, let's add the total cost of CDs and the total cost of DVDs together to find the total amount spent by Austin. So, the equation would be:
Total amount spent = Total cost of CDs + Total cost of DVDs
= 7x + 5(x + 0.30)
Now, let's simplify the equation:
Total amount spent = 7x + 5x + 1.50
= 12x + 1.50
Therefore, Austin spent 12x + 1.50 dollars altogether.
Austin spent $9.00 (nine dollars) altogether.
Work:
CD=x
DVD=x+30
7x=5(x+30)=5x+150
2x=150
x=75
7x+5x=12x=900 Ans.