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chizoba
17.10.2020 •
Mathematics
You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate.
a. How many bowls could you glaze? How many plates could you glaze?
b. You want to glaze 5 bowls, and then use the rest for plates. How many plates can you glaze? How much glaze will be left over?
c. How many of each object could you glaze so that there is no glaze left over? Explain how you found your answer.
The bowls use
pints of glaze and the plates use
The bowls use ( blank ) pints of glaze and the plates use ( blank ) for a total of 6 pints of glaze.
Solved
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Ответ:
a. How many bowls could you glaze?
6 bowls
How many plates could you glaze?
10 plates
b. You want to glaze 5 bowls, and then use the rest for plates.
How many plates can you glaze?
2 plates
How much glaze will be left over?
8/9 of glaze would be left
c. How many of each object could you glaze so that there is no glaze left over? Explain how you found your answer.
4 4/23 bowls and 4 4/23 plates
Step-by-step explanation:
We are told in the question
Number of pints of glaze = 6 pints
Number of pints to glaze a bowl= 7/8 of pint
Number of pints to glaze a plate = 9/16 of a pint
a.
How many bowls could you glaze?
7/8 pint = 1 bowl
6 pints = x
Cross Multiply
x = 6 pints/ 7/8
= 6 × 8/7
= 48/7
= 6.8571428571 bowls
We can only glaze whole numbers of a bowl, hence, we can only glaze 6 bowls
How many plates could you glaze?
9/16 pint = 1 bowl
6 pints = y
y = 6 pints/ 9/16
= 6 × 16/9
= 10.666666667 plates
We can only glaze whole number of a plate, hence, we can only glaze 10 plates
b. You want to glaze 5 bowls, and then use the rest for plates.
1 bowl = 7/8 pints
5 bowls = z
Cross Multiply
z = 5 × 7/8pints
= 4 3/8 pints of glaze would be used for bowls
How many plates can you glaze?
The rest is for plates, hence:
The amount of glaze left for plates is calculated as:
6 pints - 4 3/8
1 5/8 pints of glaze would be left over to glaze plates.
So therefore,
9/16 pints = 1 plate
1 5/8 pints =
= 2 8/9
Hence we can only glaze 2 plates
How much glaze will be left over?
2 8/9 pints - 2 pints
= 8/9 pints of glaze.
c. How many of each object could you glaze so that there is no glaze left over?
We have 6 pints of glaze
Number of pints to glaze a bowl= 7/8 of pint
Number of pints to glaze a plate = 9/16 of a pint
Let the number of each objects be represented by x
7/8 × x + 9/16 × x = 6 pints
= 4 4/23 bowls and 4 4/23 plates
Ответ:
Step-by-step What is the question