Question

NEED HELP!

Kainoa and Kuulei have the same amount of money in their savings account. On Monday, Kainoa makes a withdrawal of $25, while Kuulei took out $40. On Wednesday, Kainoa withdrew $30 and Kuulei withdrew $15. On Friday, Kainoa took out $25 more. But Kuueli deposited $20.

A) Write an expression that models the change to Kainoa's saving account.

B) Write an expression that models the change to Kuulei's saving account.

C) Who has more money in their account?

Answer 1

`A)\ \ Remaining\ Amount=x-80\\\\B)\ \ Remaining\ Amount=x-35\\\\C)\ \ Kuulei\ has\ more\ money\ in\ her\ account.`

Explanation:

`Let\ both\ has\ \$x\ in\ their\ account.`

Change in Kainoa's Account:

`Monday:\ Withdrawal\ of\ \$25\Rightarrow Remaining\ amount=x-25\\\\Wednesday:\ Withdrawal\ of\ \$30\Rightarrow Remaining\ amount=x-25-30\\\\Friday:\ Withdrawal\ of\ \$25\Rightarrow Remaining\ amount=x-25-30-25\\\\Now\ total\ amount\ in\ Kainoa's\ Account=x-25-30-25=x-80`

Change in Kuueli's Account:

`Monday:\ Withdrawal\ of\ \$40\Rightarrow Remaining\ amount=x-40\\\\Wednesday:\ Withdrawal\ of\ \$15\Rightarrow Remaining\ amount=x-40-15\\\\Friday:\ Deposit\ of\ \$20\Rightarrow Remaining\ amount=x-40-15+20\\\\Now\ total\ amount\ in\ Kuueli's\ Account=x-40-15+20=x-35`

`Since\ x\ is\ an\ amount\ so\ it\ can't\ be\ negative.\\\\Hence\ x-80<x-35\\\\\Rightarrow Kuulei\ has\ more\ money\ in\ her\ account.`