This problem reads. The form below shows interest income Terrell Washington earned and 2011 from two savings accounts. He deposited a total of $15,000 at the first of that year and made no further deposits or withdrawals. How much money did he depositing account? 8 to 2 in an account, 7 to 1 in dollars. So this is the form. So we know that the total interest that he earned was $720. So I made a little chart that has the equation. P times are times T is equal to interest and has both accounts on each row. So the total amount earned from the interest on the accounts of $720 we are trying to figure out what amounts were in each account. So I'm gonna say that X is the amount that was in account 8 to 2, and that 15,000 minus X is in the account 7 to 1, because a total of $15,000 was in both accounts and then the rate given to us for account 8 to 2 is 5% so as a decimal, that 0.5 and then the rate for count 7 to 1 is 4.5. So as a decimal, that 0.45 and then the time on each of calm is gonna be one year. So to find the interest for account 8 to 2, we're gonna multiplies their points or five times X, which is the same thing as your 50.5 X and then to find interests on the count 7 to 1, we're gonna multiply 0.45 times, 15,000 minus x. So from here, we're gonna write an equation. 0.5 x plus zero point 045 times 15,000 minus X is equal to 720 and we want to get rid of the decimals and 0.5 and 0.45 So we're gonna multiply both sides of the equation by 1000. So we have 1000 times 0.5 x plus 1000 times zero point 045 times 15,000 minus x is equal to 720,000. So 1000 times 0.5 x is 50 x, Then we have 1000 times 0.0 45 which is 45 times the 15,000 minus X is equal to 720,000. And then we're gonna have to distribute the 45 to 15,000 as well as the 45 to the negative X. So we have 50 eggs plus 45 times 15,000 is 675,000 and then we have 45 times negative X, which is negative. 45 x is equal to 720,000. Then we're gonna combine our light terms. So we have 50 x minus 45 x, which leaves us with five X plus 675,000 is equal to 720,000. Then we want to get this 675,000 to the other side. So to do that, we're going to subtract 675,000 on each side. So we have 675,000 minus 675,000 which is zero. So then we're left with five X is equal to 720,000. Minus 675,000 is 45,000 And then we're gonna divide five on each side to Eisley. The why five divided by five is one. So we're left with X is equal to 45,000. Divided by five is gonna be 9000. So $9000 was in account, 8 to 2. And then to figure out how much was in account 7 to 1, we're gonna have to subtract 15,000 minus X, which in this case, is the 9000. So we have 15,000 minus 9000 and that's going to be 6000. So that means that $6000 was in account, 7 to 1, and that is our solution to the problem.