Question

La MC #3: Burbot Fishing Derby 1. Use a bargraph method to set up a System Of equations to solve the problem. 2. solve the system of equations 3. Check your answer in the bar graph method, 4. Set Up and solve the problem using a proportio. ng residents Q. The ratio of utan residents to Wyoming! at the Bunoof Fishing Dorbu 18 4 405, pttore a Suburban carrying out more Utan residents arrive to fish. The new ratio is I to l. How mainu Utah residents and Wyoming residents were there before the arrival of the additional 8 from urah?

Answer 1

Let utam residents were sc amd wyoming in y muambems them => 50c=hy - y = 5x ton e and act 8 = 4= 3+8. Now plotting these equations on graph oc=32, y=40 is point of intersection of these two linear equations. ny 132,40) 367 =2C+8 52-4y=0 x x 12 16 20 24 28 32 36 1) Given above boor graph to set up equation

2) Solution (point of intersection of two equations soc=32, y=40] 3.) Checked by solving both equations. Solving simultaneously as (500-4y=0)x1 = 56c-4y=0 (-se ty = 8) x5 - 50+ 5y = 40 Uto 8 = 40 - nc+40=8 => [0C=32 :. [00=32,9=40 Graphically [oc= 32, y=40) 47 solving using proportion Let utan residents in 40c Nuanber then Wyoming 50 (as their ratio 4.5) (By increasing utam Now, 400+ 8 500 = 7 residents by si 1:1 by 8, ratio = 48+8=500 Hence, utan 40= 4x8=32 Wyoming 50=5x8=40 [DC=32, y=40