Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Last Wednesday, two friends met up after school to read the book they were both assigned in Literature class. Bryan can read 2 pages per minute, and he had already read 98 pages. Jayla, who has a reading speed of 3 pages per minute, had read 48 pages. Eventually they had read the same number of pages. How long did that take? How many pages had each of them read?After ____ minutes, Bryan and Jayla had each read ____ pages.
Q. Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Last Wednesday, two friends met up after school to read the book they were both assigned in Literature class. Bryan can read 2 pages per minute, and he had already read 98 pages. Jayla, who has a reading speed of 3 pages per minute, had read 48 pages. Eventually they had read the same number of pages. How long did that take? How many pages had each of them read?After ____ minutes, Bryan and Jayla had each read ____ pages.
Bryan's Reading Rate: Bryan's reading rate is 2 pages per minute, and he starts with 98 pages.Equation for Bryan: y=2x+98.
Jayla's Reading Rate: Jayla's reading rate is 3 pages per minute, and she starts with 48 pages.Equation for Jayla: y=3x+48.
Equation Set-Up: Set the equations equal to each other to find when they have read the same number of pages. 2x+98=3x+48.
Solve for x: Solve for x by subtracting 2x from both sides.98=x+48.
More problems from Solve a system of equations using substitution: word problems