Kelsey starts with $150 in her account and she adds $25 a month. Kyle starts with $200 in his account and adds $20 a month to his account. Write an equation/inequality to show when Kelsey will have more money than Kyle.

Question

25-10-2022
Mathematics

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Kelsey starts with $150 in her account and she adds $25 a month. Kyle starts with $200 in his account and adds $20 a month to his account. Write an equation/inequality to show when Kelsey will have more money than Kyle.

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AlmalikT45779 AlmalikT45779 · Answer 1 · 2022-10-25T14:01:53-04:00

Let x represents the number of months it will take Kelsey to have more money than Kyle.

Given that Kelsey starts with $150 in her account and she adds $25 a month, it means that the amount that he would have saved after x months is

150 + 25 *x

= 150 + 25x

Given that Kyle starts with $200 in his account and adds $20 a month to his account, it means that the amount that he would have saved after x months is

200 + 20 *x

= 200 + 20x

For Kelsey to have more money than Kyle, the inequality would be

150 + 25x > 200 + 20x

25x - 20x > 200 - 150

5x > 50