Nereo and Azeneth start recording video at the same time. Nereo's phone starts with 1,000 megabytes (MB) of free space and uses 7MB of space per second of video. Azeneth's phone has 1,255MB of free space and uses 10MB of space per second of video. How much free space will they have when they first have the same amount of space left? MB

Question

Nereo and Azeneth start recording video at the same time. Nereo's phone starts with 1,000 megabytes (MB) of free space and uses  7MB of space per second of video. Azeneth's phone has  1,255MB of free space and uses  10MB of space per second of video. How much free space will they have when they first have the same amount of space left? MB

Bytelearn · Accepted Answer

Calculate usage rates: Determine the rate at which free space is being used on both phones. Nereo's phone uses 7MB per second. Azeneth's phone uses 10MB per second.Set up equation for time: Set up an equation to find the time when both phones will have the same amount of free space left. Let t be the time in seconds when both phones have the same amount of free space left. Nereo's remaining space: 1000MB - 7MB * t Azeneth's remaining space: 1255MB - 10MB * tEquate remaining space: Equate the remaining space on both phones to find the time when they are equal. 1000MB - 7MB * t = 1255MB - 10MB * tSolve for time: Solve the equation for t. 1000MB - 7MB * t + 10MB * t = 1255MB 3MB * t = 255MB t = 255MB / 3MB t = 85 secondsCalculate remaining space: Calculate the remaining space on either phone after 85 seconds. Nereo's remaining space: 1000MB - 7MB * 85 Nereo's remaining space: 1000MB - 595MB Nereo's remaining space: 405MBVerify remaining space: Verify the remaining space on Azeneth's phone after 85 seconds to ensure it matches Nereo's remaining space. Azeneth's remaining space: 1255MB - 10MB * 85 Azeneth's remaining space: 1255MB - 850MB Azeneth's remaining space: 405MB

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