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?
Question
The ratio of Ethan to Noah's savings was 3 : 7 at first. After Ethan saved another 44, Ethan had twice of Noah. How much did Ethan have in the end?
Solution
Let's solve this step by step:
Step 1: Let's assume the initial savings of Ethan and Noah are 3x and 7x respectively.
Step 2: According to the problem, after Ethan saved another 44, Ethan had twice of Noah. So, we can write this as an equation: 3x + 121 = 2(7x + 44).
Step 3: Simplify the equation: 3x + 121 = 14x + 88.
Step 4: Rearrange the equation to find the value of x: 14x - 3x = 121 - 88, which simplifies to 11x = 33, so x = 3.
Step 5: Substitute x = 3 back into the equation for Ethan's savings: 3x + 121 = 3*3 + 121 = 9 + 121 = $130.
So, Ethan had $130 in the end.
Similar Questions
The ratio of Noah to William's savings was 2 : 3 at first. After Noah saved another $124 and William saved another $48, Noah had twice of William. How much did Noah have in the end?
Ethan and Noah saved the same amount of money. Noah spent $162 buying a birthday gift for her friend. In the end, Ethan had 4 times as much as Noah. How much did Ethan have?
The ratio of Aiden to Daniel's savings was 4 : 5 at first. After Aiden saved another $138 and Daniel saved another $39, Aiden had twice of Daniel's amount. How much did Aiden have in the end?
The ratio of Noah to Ethan's savings is 3 : 7. The ratio of Ethan to Mason's savings is 7 : 8. Find the ratio of Noah to Mason's savings. (Please leave your answer in the simplest ratio.)
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?
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.