In September, the ratio of the amount Ray spent and the amount he saved was 4:1. In October, he got a salary raise. He increased his spending by 25% but saved the same amount. Find the new ratio.
How about you try this one?
I don't need the practice.
Define your variable and work through the changes, as I did in your previous post.
Having difficulty understanding this concept. Can you recommend a website to SEE how to work this problem.
spent: 4x
saved: x
ratio: 4x/x = 4/1 or 4:1
new ratio: 1.25*4x/x = 5x/x = 5:1
Thank you showing us this was very helpful!
To find the new ratio, we first need to determine the initial amounts Ray spent and saved in September.
Let's assume that Ray spent an amount of 4x and saved an amount of 1x in September, where x represents a certain value.
In September, Ray's spending to saving ratio was 4:1, which means he spent 4 times as much as he saved. Therefore, his total spending and savings combined is 4x + 1x = 5x.
In October, Ray received a salary raise. He increased his spending by 25% but continued to save the same amount as before.
To determine Ray's new spending amount, we can calculate 25% of his original spending and then add it to his original spending:
25% of 4x = 0.25 * 4x = x
Ray's new spending amount in October will be his original spending plus the increase:
4x + x = 5x
Therefore, Ray's new total spending and savings amount in October is 5x + 1x = 6x.
Now we can calculate the new spending to saving ratio in October:
New ratio = New spending amount : Saving amount
= 5x : 1x
= 5:1
Therefore, the new ratio of Ray's spending to saving in October is 5:1.