Q:

On the first day of vacation, you read one-quarter of a novel. On the second day, you read half of the remaining pages. On the third day, you read the last 123 pages of the novel.(a) How many pages does the novel have?pages(b) How many pages did you read by the end of the second day?pages

Accepted Solution

A:
Answer:328 pages for the novel123 pages for the second dayStep-by-step explanation:Let the number of pages of the novel = xRaw Equation(1/4)x + 1/2 (3/4)x + 123 = xSolution(1/4)x + (3/8)x+ 123 = xChange the fractions to common denominators.(2/8)x + (3/8)x + 123 = xAdd the fractions.(2/8 + 3/8)x + 123 = xSubtract (5/8)x from both sides.(5/8)x + 123 = x (5/8)x- (5/8)x + 123 = x - (5/8)xMultiply both sides by 8123 = (3/8)x Β 123 * 8 = 3xDivide by 3 984 = 3x984/3 = 3x / 3328 = x===================At the end of the second day, she read 3/8 * 328 = 123 pages.