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ElenaW [278]
3 years ago
13

I need an answer for this lolz

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

Answer:

She worked 12 hours as a carpenter and 18 hours as a blacksmith

Step-by-step explanation:

You can solve this problem using a system of equations:

where c represents hours worked as a carpenter, and b represents hours worked as a blacksmith;

c + b = 30

20c + 25b = 690

To solve this system, you can multiply the first equation by 20 and subtract it from the second to isolate b:

  20c + 25b = 690

<u>- 20c + 20b = 600</u>

              5b  = 90

Now, you can solve for b:

5b = 90

b = 18 (divide both sides by 5)

Now that you know b, you can input it into the first equation to find c:

b + c = 30, where b = 18;

18 + c = 30 (replace b in the equation with 18 because of transitive property of equality)

c = 12 (subtract 18 from both sides of the equation))

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Answer:

1) 18 Quart of Sparkling water need to mix with 9 quart grape juice

2) 15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3) Quantity of grape juice  and  sparkling water in 100 quart of punch are 33 1/3 quart  and 66 2/3 quart respectively.

Step-by-step explanation:

1 1/2 quarts = 1 + (1/2) = 3/2 quarts

1)  water required for 3/4 quart of grape juice =  3/2 quarts

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so water required for 9 quart of grape juice = 9 * 2 = 18 quart

18 Quart of Sparkling water need to mix with 9 quart grape juice

2) From solution of 1 ,

   For 18 quart of Sparkling water , grape juice require = 9 quart

   So for 1 quart of Sparkling water , grape juice require = 9÷18 = 1/2 Quart

   so for 15/4 quart of Sparkling water ,  grape juice require = 1/2 × 15/4 =

15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3)

in 1 we calculated that 18 Quart of Sparkling water need to mix with 9 quart grape juice that is 2 quart of Sparkling water need to mix with 1 quart of grape juice.

In other words 1 quart of grape juice + 2 quart of sparkling water is 3 quart of punch.

Quantity of Grape juice in 3 quart of punch = 1 quart

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And quantity of grape juice in 100 quart of punch = 100×(1/3) = 100/3 =

33 1/3

Quantity of sparkling water in 3 quart of punch = 2 quart

so quantity of sparkling water  in 1 quart of punch = 2/3 quart

And quantity of sparkling water  in 100 quart of punch = 100 ×2/3 quart = 66 2/3


 


     


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Step-by-step explanation:

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