Each bookmark requires 0.25 yards of ribbon LaTreace wants to make 74 bookmarks how many feet of ribbon must she buy?
1 answer:
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Answer:
Edgardo would use the container <u>160 times</u> to fill.
Step-by-step explanation:
Given:
Edgardo uses a container to fill the 10 gallon cooler.
If he uses a one cup container.
Now, to find the times it would take to fill the 10 gallon container.
As, the capacity of container = 1 cup.
And, the capacity of cooler = 10 gallon.
So, we use conversion factor to find the times the container to fill the cooler:
1 gallon = 16 cups.
10 gallon =
10 gallon = 160 cups.
<u><em>Thus, to fill the 10 gallon cooler 160 cups of container needed.</em></u>
<u><em>And, the container is of 1 cup.</em></u>
So, to get the times he would use the container we divide 160 by 1:
<u><em>Hence, 160 times Edgardo would use the 1 cup container to fill the 10 gallon cooler.</em></u>
Therefore, Edgardo would use the container 160 times to fill.
The cost of pen and pencils are related to the number that can be bought
with a given amount of money.
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Reasons:
The given parameters are;
If the number number of pens and pencils James buys = 3 pens and 2 pencils, the amount James will have left = $2
If the number of pens and pencils James buys = 2 pens and 3 pencils, the amount James will have left = $6
The amount of money Judith has = The amount of money with James
The number of pens and pencil James and Judith can buy = 6 pens and 6 pencils
The cost of one pen = a
The cost of one pencil = b
Required:
To find the ordered pair (a, b)
Solution:
Let <em>X</em> represent the initial amount of money James has, we get;
X - (3·a + 2·b) = 2...(1)
X - (2·a + 3·b) = 6...(2)
2·X = 6·a + 6·b...(3)
Therefore;
X = (6·a + 6·b) ÷ 2 = 3·a + 3·b
Which from equation (1) gives;
3·a + 3·b - (3·a + 2·b) = 2
3·a + 3·b - 3·a - 2·b = 2
3·b - 2·b = 2
b = 2
Subtracting equation (1) from equation (2) gives;
(X - (2·a + 3·b)) - (X - (3·a + 2·b)) = 6 - 2 = 4
-2·a - 3·b + 3·a + 2·b = 4
a - b = 4
a = 4 + b
∴ a = 4 + 2 = 6
a = 6
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