Question

(SHOW WORK! Need by tomorrow!) Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Two students in Mr. Kelley's class, Tori and Cora, have been assigned a workbook to complete at their own pace. They get together at Tori's house after school to complete as many pages as they can. Tori has already completed 16 pages and will continue working at a rate of 5 pages per hour. Cora has completed 13 pages and can work at a rate of 8 pages per hour. Eventually, the two students will be working on the same page. How long will that take? How many pages will each of them have completed?


After _ hours, Tori and Cora will have each completed _ pages in their workbooks.

Answer 1

Answer:

1 hour later , 21 pages read

Step-by-step explanation:

x hour later they will read the same number of pages

Tori: 16 + 5x

cora: 13 + 8x

16 + 5x = 13 + 8x

minus 5x each sides: 16 = 13 + 3x

minus 13 each sides: 3 = 3x

divide 3 each sides: x = 1

1 hour later both of them will read 16 + 5 x 1 = 21 pages

check cora: 13 + 8 x 1 = 21

Answer 2

Answer:

1 hour later , 21 pages read

Step-by-step explanation:

After 1 hour, Tori and Cora will have each completed 21 pages in their workbooks.