Luke wants to buy a $575 ipad. luke has no money saved, but will be able to deposit $65 into a savings account when he receives his paycheck each friday. however, before luke can buy the ipad, he must give his sister $55 that he owes her. for how many week will luke need to deposit money into his savings account before he can pay back his sister and buy the ipad

Luke needs to deposit money into his savings account for 10 weeks before he can pay back his sister and buy the iPad.

Step-by-step explanation:

The cost of the iPad that Luke wants to buy is $575

before Luke can buy the iPad, he must give his sister $55 that he owes her. This means that the total amount of money that he must save would be 575 + 55 = $630

He will be able to deposit $65 into a savings account when he receives his paycheck each Friday.

Let x represent the number weeks it takes him to save enough money in his account. Therefore, the total amount that he saves for x weeks would be 65 × x = 65x

Therefore,

65x = 630

x = 630/65

x = 9.69

move it to the other side

step-by-step explanation:

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.