Hi there! So the toy car was on sale for 20%, and the sale price is $64. To find the original price of the toy car, we can write and solve a proportion. Set it up like this:
64/x = 80/100
This is because 64 is part of the whole, which is the original price, and although you get a 20% discount, you still have to pay 80% of the original price, which is why 80 is over the 100, in stead of 20. Let's cross multiply the values. 64 * 100 is 6,400 and 80 * x is 80x. That leaves 6,400 = 80x. Now, divide each side by 80 to isolate the x. 80x/80 cancels out. 6,400/80 is 80. We found the number, but let's check it. 80 * 80% (0.8) is 64. There. x = 80. The regular price of the toy car was $80.
First let's define variables: r: reading s: skimming We write the system of equations that adapts to the problem: r + s = 275 (15/10) r + (10/15) s = 355 We solve the system of equations: r = 206 s = 69 Note: see attached image for system solution. Answer: Jayden had to skim 69 pages through
