SOLUTION: the antecedent and consequent of a ratio differ by 40 and is equal to 2/7. find the ratio.

Question 257482: the antecedent and consequent of a ratio differ by 40 and is equal to 2/7. find the ratio.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
We have a fraction of the following type
N/D, where D NOT = 0.
Based on the given information,
D - N = 40
and
N/D = 2/7.
This is a reduced number.
D = 40 + N
by substitution, we get
N / (40+N) = 2/7
cross multiply to get
7N = 80 + 2N
solve for N to get
5N = 80
N = 16
Since N = 16, D = 56
Our fraction is 16/56.
RELATED QUESTIONS
please help my teacher is still saying that this is incorrect please help thank you so... (answered by solver91311)

Can I please get some help with this. 4 pts) For each of the following conditionals, (answered by stanbon)

For each of the following conditionals, identify the antecedent and the consequent. Form (answered by Mathtut)

For each of the following conditionals, identify the antecedent an the consequent. Form... (answered by Mathtut)

Two numbers are in a ratio of 6 to 7. If the first is increased by 2 and the second is... (answered by Fombitz)

I got these two questions wrong on my test, can someone show me how to do these two? I... (answered by jim_thompson5910)

A 42ml solution contains lemon juice and water in the ratio of 4: 3, respectively. It is... (answered by Edwin McCravy,Theo,greenestamps)

If the ratio of the width of a rectangle to its length is 7/8, and the length is 40... (answered by jim_thompson5910)

If the sums of the first three terms of an AP and a GP are equal and non-zero, the... (answered by greenestamps,ikleyn)