Question

Sam's grandfather gave him some money as a birthday present. Sam says he will put his money in a safe place and as part of his allowance to it each week. Sam tells Clara he will save the same amount from his allowance each wee. he says that after five weeks he will have a total of $175 and after eight weeks he will have a total of $190.how much money is Sam planning to save each week? how much money did his grandfather give him for his birthday?

Answer 1

let the money gave to sam by his grandfather = x

and the money save by sam each week = y

Total money after 5 weeks = $175

x + 5y = 175

subtract both sides by 5y

x = 175 - 5y ----------(1)

total money after 8 weeks = $190

x + 8y = 190

put the value of x from equation 1

(175 - 5y) + 8y = 190

175 + 3y = 190

subtract both sides by 175

175 - 175 +3y = 190 - 175

3y = 15

divide both sides by 3

y = 15/3

y = 5

x = 175 - 5y (from 1)

x = 175 - 5(5)

x = 175 - 25

x = 150

so the money gave to sam by his grandfather

= x

= $150

comment down below if you any question

please give it a thumbs up if you like the answer.