JeriAnn V.

asked • 01/31/23

If the ratio of girls to boys is 3:4 and there are 34 more boys, how many girls?

2 Answers By Expert Tutors

By:

Jerry F. answered • 02/03/23

Tutor
New to Wyzant

Compassionate teacher of math & physics (for a few decades)

See tutors like this
See tutors like this

Let B = # of boys; G = # of girls.

G/B = 3/4 is the FIRST given condition. Cross multiply to get 3B = 4G, then divide both sides by 3 to arrive at

B = 4G/3.


The SECOND given condition is B - G = 34. Replace B with 4G/3 to get 4/3G-G = 34 or 4/3G-3/3G = 34.

Finally, 1/3G = 34. Multiply both sides by 3 to yield 3/3G = 3(34), or G = 102.


Upvote • 0 Downvote
More
Report

Jerry F.

This is an example of two equations involving the same two unknowns, or simultaneous equations. So long as there are as many true INDEPENDENT equations as there are unknown quantities, the unknowns can be determined. It would be wise to look up the meaning of independent equations.
Report

02/03/23

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.