The ratio of Lincoln to Jason's savings was 2 : 7 at first. After Lincoln saved another $142 and Jason saved another $53, Lincoln had twice of Jason. How much did Lincoln have in the end?
Question
The ratio of Lincoln to Jason's savings was 2 : 7 at first. After Lincoln saved another 53, Lincoln had twice of Jason. How much did Lincoln have in the end?
Solution
Let's solve this step by step:
Step 1: Let's assume the initial amount of money Lincoln had is 2x and Jason had is 7x.
Step 2: According to the problem, after saving some more money, Lincoln had twice the amount of Jason. We can write this as: 2x + 142 = 2(7x + 53)
Step 3: Simplify the equation: 2x + 142 = 14x + 106
Step 4: Rearrange the equation to find the value of x: 14x - 2x = 142 - 106, which simplifies to 12x = 36
Step 5: Solve for x: x = 36 / 12 = 3
Step 6: Now that we know x = 3, we can find out how much money Lincoln had in the end. Lincoln's final amount is 2x (his initial amount) + 148.
Similar Questions
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?
The ratio of Matthew to James's savings was 2 : 5 at first. After Matthew saved another $144 and James saved another $36, Matthew had twice of James. How much did Matthew have in the end?
The ratio of Ben to Bryan's savings was 2 : 3 at first. After Ben saved another $194 and Bryan saved another $71, Ben had twice of Bryan. How much did Ben have in the end?
The ratio of James to Nicholas's savings was 4 : 7 at first. After James saved another $166 and Nicholas saved another $43, James had twice of Nicholas. How much did James have in the end?
The ratio of Ethan to Noah's savings was 3 : 7 at first. After Ethan saved another $121 and Noah saved another $44, Ethan had twice of Noah. How much did Ethan have in the end?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.