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loganl
2 years ago
0

4.2.4 Practice: Solving Systems of Linear Equations Math 8 (2020)

Your Assignment Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day. How many days will it take Amir to catch up to Jesse, and how many pages will they each have read? Answer the questions to solve this problem using a system of equations. 1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Mathematics
math
2 answers:
SINON2 years ago
3 0

answer: 6 days
210 pages Step-by-step explanation: As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y. Now since he reads 35 pages per day. Then mathematically; y = 35x For Jesse, He started reading a day before, which means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1) To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that Also; y = 30(x + 1) Equating the two situations 35x = 30(x + 1) 35x = 30x + 30 35x -30x = 30 5x = 30 x = 30/5 x = 6 days This means that it will take Amir 6 days to catch Jese. The number of books they would have read by then is y = 35x = 30(x + 1) = 35 * 6 or 30(6+1) = 210

SINON
2 years ago
sorry does this help
Kokoro
2 years ago
We have the same answer lol
Kokoro2 years ago
2 0

It would Take Amir 6 days to catch up to Jessie.

Explanation -
Amir has one less than Jessie bc he started 1 day after.

False
Jessie - 30 x 3x = 90y
Amir - 35 x 2x = 70y

false
Jessie - 30 x 4x = 120y
Amir - 35 x 3x = 105y

false
Jessie - 30 x 4x = 150y
Amir - 35 x 4x = 140y

false
Jessie - 30 x 6x = 180y
Amir - 35 x 5x = 175y

True
Jessie - 30 x 7x = 210y )
Amir - 35 x 6x = 210y ) TRUE

Kokoro
2 years ago
Sorry, the other day I gave u the wrong answer, the true answer is 6 days, I accidentally did 30 x 6 = 120 but its 180 lmao
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