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Lady bird [3.3K]
3 years ago
13

3/5 of gallon of juice is poured equally into 6 glasses . How much juice is in each glass?

Mathematics
1 answer:
Setler [38]3 years ago
6 0
Hi there! For this question, we will have to divide. When it comes to dividing fractions, we keep, change, flip. In other words, keep the first fraction the same, change division into multiplication, and flip the second fraction over by its reciprocal. In this case, 3/5 stays the same and 6/1 becomes 1/6. 3/5 * 1/6 is 3/10 or 1/10 in simplest form. There. There are 1/10 gallon of juice in each glass.
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Lea sold 2 cherry pies and 4 pumpkin pies for a total of $116. Kali sold 7 cherry pies and 8 pumpkins pies for a total of $286.
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Answer: the cost of one cherry pie is $18 and the cost of one pumpkin pie is $20

Step-by-step explanation:

Let x represent the cost of one cherry pie.

Let y represent the cost of one pumpkin pie.

Lea sold 2 cherry pies and 4 pumpkin pies for a total of $116. This means that

2x + 4y = 116 - - - - - - - - - - - - - -1

Kali sold 7 cherry pies and 8 pumpkins pies for a total of $286. This means that

7x + 8y = 286 - - - - - - - - - - - - 2

Multiplying equation 1 by 7 and equation 2 by 2, it becomes

14x + 28y = 812

14x + 16y = 572

Subtracting, it becomes

12y = 240

y = 240/12 = 20

Substituting y = 20 into equation 1, it becomes

2x + 4 × 20 = 116

2x + 80 = 116

2x = 116 - 80 = 36

x = 36/2 = 18

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