Jason and Lisa had some money in their bank. After Jason and Lisa managed to save $189 and $81 respectively, the amount of money Jason had was twice of Lisa. If initially, the money Jason and Lisa had in the bank were in the ratio 5 : 7, how much did Jason have after saving?
Question
Jason and Lisa had some money in their bank. After Jason and Lisa managed to save 81 respectively, the amount of money Jason had was twice of Lisa. If initially, the money Jason and Lisa had in the bank were in the ratio 5 : 7, how much did Jason have after saving?
Solution
Let's solve this step by step:
Step 1: Let's assume the initial amount of money Jason and Lisa had in the bank were 5x and 7x respectively.
Step 2: After saving, Jason had 5x + 81.
Step 3: According to the problem, the amount of money Jason had was twice of Lisa. So, we can set up the equation as follows:
5x + 81)
Step 4: Simplify the equation:
5x + 162
Step 5: Rearrange the equation to find the value of x:
14x - 5x = 162
9x = $27
x = $27 / 9
x = $3
Step 6: Substitute x = $3 back into the equation for Jason's money after saving:
5x + 3) + 15 + 204
So, Jason had $204 after saving.
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