Monique made several batches of soup for a potluck supper. Each batch required Three-fourths of a pound of potatoes, and she use
2 answers:
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Answer:
The number of seashells he have in his collection all together is <u>140</u>.
Step-by-step explanation:
Given:
Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.
Stanley has 49 seashells from Florida.
Now, to find the number of seashells of his collection altogether.
Let the number of seashells all together be
Percentage of seashells found on Florida beaches = 35%.
Number of seashells found on Florida beaches = 49.
Now, to get the number of seashells altogether we put an equation:
⇒
⇒
⇒
Dividing both sides by 0.35 we get:
⇒
Therefore, the number of seashells he have in his collection all together is 140.
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
