The following graph details the number of performances of plays a Shakespearean acting company has performed over the past five
years.
A pie chart titled Performances. Titus Andronicus, 25 percent; Henry I V, 13 percent; Twelfth Night, 17 percent; Othellow, 19 percent; The Tempest, 10 percent; Other, 16 percent.
If the company has performed Twelfth Night 25 times in the past five years, how many times have they performed in total? Round to the nearest whole performance, if necessary.
a.
42
b.
50
c.
147
d.
221
A pie chart titled Performances. Titus Andronicus, 25 percent; Henry I V, 13 percent; Twelfth Night, 17 percent; Othellow, 19 percent; The Tempest, 10 percent; Other, 16 percent.
If the company has performed Twelfth Night 25 times in the past five years, how many times have they performed in total? Round to the nearest whole performance, if necessary.
a.
42
b.
50
c.
147
d.
221
2 answers:
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( solution is attached below)
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Answer:
Part a) You could build 5 copies of the flower pattern
Part b) You would have 40 red trapezoids left over
Step-by-step explanation:
The complete question in the attached figure
Part a)
Let
x -----> the number of yellow hexagons
y ----> the number of red trapezoids
z ----> the number of green triangles
we know that
The flower pattern has the following ratios
Find out how many copies of this flower pattern could you build if you had 30 yellow hexagons,50 red trapezoids, and 60 green triangles
1) For x=30
Divide 30 by 6 (remember that in one pattern there are 6 yellow hexagons)
Verify the quantity of y needed and the quantity of z needed
Find the value of y
10 < 50 ----> is ok
Find the value of z
45<60 --->is ok
2) For y=50
Divide 50 by 2 (remember that in one pattern there are 2 red trapezoids)
Verify the quantity of x needed and the quantity of z needed
Find the value of x
150 > 30 ----> is not ok
3) For z=60
Divide 60 by 9 (remember that in one pattern there are 9 green triangles)
60/9=6.7 copies
Round down
6 copies -----> 6(9)=54 green triangles
Verify the quantity of x needed and the quantity of y needed
Find the value of x
36> 30 --->is not ok
therefore
You could build 5 copies of the flower pattern
Part b)
we know that
x:y:z=6:2:9
If you build 5 copies
1) You would use 5*6=30 yellow hexagons and you would have 0 hexagons left over
2) You would use 5*2=10 red trapezoids and you would have (50-10=40) trapezoids left over
3) You would use 5*9=45 green triangles and you would have (60-45=15) triangles left over
therefore
You would have 40 red trapezoids left over
