Here is a flower made up of yellow hexagons, red trapezoids, and green triangles. How many copies of this flower pattern could you build if you had 6 yellow hexagons, 2 red trapezoids, and 9 green triangles?

Answer:Step-by-step explanation:Answer:Part a) You could build 5 copies of the flower pattern  Part b) You would have 40 red trapezoids left overStep-by-step explanation:The complete question in the attached figurePart a)Letx -----> the number of yellow hexagonsy ----> the number of red trapezoidsz ----> the number of green triangleswe know thatThe flower pattern has the following ratiosFind out how many copies of this flower pattern could you build if you had 30 yellow hexagons,50 red trapezoids, and 60 green triangles1) For x=30Divide 30 by 6 (remember that in one pattern there are 6 yellow hexagons)Verify the quantity of y needed and the quantity of z neededFind the value of y10 < 50 ----> is okFind the value of z45<60 --->is ok2) For y=50Divide 50 by 2 (remember that in one pattern there are 2 red trapezoids)Verify the quantity of x needed and the quantity of z neededFind the value of x150 > 30 ----> is not ok3) For z=60Divide 60 by 9 (remember that in one pattern there are 9 green triangles)60/9=6.7 copiesRound down6 copies -----> 6(9)=54 green trianglesVerify the quantity of x needed and the quantity of y neededFind the value of x36> 30 --->is not okthereforeYou could build 5 copies of the flower patternPart b)we know thatx:y:z=6:2:9If you build 5 copies1) You would use 5*6=30 yellow hexagons and you would have 0 hexagons left over2) You would use 5*2=10 red trapezoids and you would have (50-10=40) trapezoids left over3) You would use 5*9=45 green triangles and you would have (60-45=15) triangles left overthereforeYou would have 40 red trapezoids left over