Sam started with savings of $2,500 and adds $40 to his savings each week. Marshall started with $7,300 in savings and spends $60

Question

2 years ago

13

Sam started with savings of $2,500 and adds $40 to his savings each week. Marshall started with $7,300 in savings and spends $60

of his savings each week. After how many weeks will both Sam and Marshall have the same amount of savings in their accounts?

Mathematics

1 answer:

Oliga [24] · Answer 1 · 2022-11-24T16:45:27+03:00

The number of weeks it will take both Sam and Marshall to have the same amount of savings in their accounts is 48 weeks

Given:

Amount with Sam = $2,500

Additional savings each week = $40

Amount with Marshal = $7,300

Amount spent each week = $60

let

x = number of weeks

Sam equation:

2500 + 40x

Marshall's equation:

7300 - 60x

Equate both

2500 + 40x = 7300 - 60x

collect like terms

2500 - 7300 = - 60x - 40x

-4800 = -100x

divide both sides by - 100

x = -4800 / -100

x = 48 weeks

Therefore, the number of weeks it will take both Sam and Marshall to have the same amount of savings in their accounts is 48 weeks