MATH SOLVE

7 months ago

Q:
# A group of tourists spends $156 to rent snorkels and fins. A total of 15 snorkels and 18 pairs of fins are rented. Renting a snorkel costs four times as much as renting a pair of fins. How much does it cost to rent a snorkel?

Accepted Solution

A:

there is two answers , TX$65p/hLaura L.Experienced ACT / SAT Tutor: English, Math, Reading, Science, Writing 2000+ hours 5.0 (629 Ratings) Message Laura 3 0 At any given time, the amount of money in a club's bank account will equal the starting amount plus the amount saved each week. We can set up an equation for each club that adds these two parts together to give us that total:$ saved up by each club after X weeks = starting $ + ($ saved per week)*(X number of weeks)For each club, here are the equations we need:Total $ Saved by Science Club after X weeks = 20 + 10X

Total $ Saved by Music Club after X weeks = 50 + 5X

Total $ Saved by Math Club after X weeks = 0 + 15XWe can use "Y" to represent the total $ saved by each club:

Ysci = 20 + 10XYmus = 50 + 5XYmath = 15XTo find all the possible times when any two clubs will have saved the same amount of money, we just need to graph these three equations and find the points where each pair of lines intersect. After graphing the equations, we're looking for the X-values for the intersection points where:1) Ysci = Ymus(The point at which 20 + 10X = 50 + 5X)2) Ysci = Ymath(The point at which 20 + 10X = 15X)Ymus = Ymath(The point at which 50 + 5X = 15X)

We can check the graphing solution by solving these pairs of equations with algebra. We just combine all "X" terms on one side and all number terms on the other side to solve for X.1) Ysci = Ymus20 + 10X = 50 + 5X5X = 30X = 62) Ysci = Ymath20 + 10X = 15X20 = 5XX = 4Ymus = Ymath50 + 5X = 15X50 = 10XX = 5Answer Summary:

1) $ saved by Science Club = $ saved by Music Club after 6 weeks;

2) $ saved by Science Club = $ saved by Math Club after 4 weeks;

3) $ saved by Music Club = $ saved by Math Club after 5 weeks.

Total $ Saved by Music Club after X weeks = 50 + 5X

Total $ Saved by Math Club after X weeks = 0 + 15XWe can use "Y" to represent the total $ saved by each club:

Ysci = 20 + 10XYmus = 50 + 5XYmath = 15XTo find all the possible times when any two clubs will have saved the same amount of money, we just need to graph these three equations and find the points where each pair of lines intersect. After graphing the equations, we're looking for the X-values for the intersection points where:1) Ysci = Ymus(The point at which 20 + 10X = 50 + 5X)2) Ysci = Ymath(The point at which 20 + 10X = 15X)Ymus = Ymath(The point at which 50 + 5X = 15X)

We can check the graphing solution by solving these pairs of equations with algebra. We just combine all "X" terms on one side and all number terms on the other side to solve for X.1) Ysci = Ymus20 + 10X = 50 + 5X5X = 30X = 62) Ysci = Ymath20 + 10X = 15X20 = 5XX = 4Ymus = Ymath50 + 5X = 15X50 = 10XX = 5Answer Summary:

1) $ saved by Science Club = $ saved by Music Club after 6 weeks;

2) $ saved by Science Club = $ saved by Math Club after 4 weeks;

3) $ saved by Music Club = $ saved by Math Club after 5 weeks.