Sean and David had some allowance in the ratio of 3:7. They shared some money to buy a bracelet for their cousin. The ratio of the amount paid by Sean to the amount paid by David was 1:2. If David was left with $176 and Sean had spent 1/4 of his money, how much was the bracelet they bought?
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The bracelet cost $224.
Wow! The bot totally got this wrong again.
amount of money:
Jean : David = 3:7 = 3x : 7x
spent on bracelet:
Jean : David = 1:2 = y : 2y
"David was left with $176" ----> 7x - 2y = 176
"Sean had spent 1/4 of his money" ---> y = (1/4)(3x) = 3x/4
sub the 2nd into the 1st
7x - 2(3x/4) = 176
times 2,
14x - 3x = 352
11x = 352
x = 32
y = (1/4)(3x) = 24
cost of bracelet = y+2y = $72
check:
Jean had 3x or $96
David had 7x or $224 ---> 96:224 = 3:7 , check!
Jean spent y or $24
David spent 2y or $48 ---> 24:48 = 1 : 2, check!
amount left for david = 7x-2y = 224-48 = 176, check!
what is 1/4 of 96 ? , 24, which is the amount Sean spent, Check!!