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Cerrena [4.2K]
2 years ago
15

700 is 2 parts in the ratio 3:2, how much would 3 parts be?

Mathematics
2 answers:
Ad libitum [116K]2 years ago
5 0

answer:

3 parts will be 420

explanation:

total ratio: 3 + 2 = 5

5 ➳ 700

1 ➳ 700/5

1 ➳ 140

solve for 3 : 2

3 ➳ 140 * 3 = 420

2 ➳ 140 * 2 = 280

SpyIntel [72]2 years ago
5 0

Answer:

1050

Step-by-step explanation:

If 700 is 2 parts, then

1 part = 700 ÷ 2 = 350

So 3 parts = 3 x 350 = 1050

Algebraically:

3 : 2 = x : 700

⇒ \dfrac32=\dfrac{x}{700}

⇒ 3 x 700 = 2x

⇒ 2100 = 2x

⇒ x = 1050

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Answer:

(a)Equation representing amount of lights on Monday is 2 x  + 3 y = 44

(b)Equation representing amount of lights on Tuesday is 5 x  + 3 y = 56

(c) Bob uses 4 stands of light on Bushes

    and Bob uses 12 strands of lights on trees.

Step-by-step explanation:

Let x = strands of lights on bushes.

​Let y = strands of lights on trees.

Bob used ​44 strands of light to decorate 2 bushes and 3 trees on Monday.

So, the number of light on 2 bushes  = 2x

and  the number of light on 3 tress  = 3 y

⇒ 2 x  + 3 y = 44

Also, On Tuesday, ​Bob used 56 strands of lights to decorate 5 bushes and 3 trees.

So, the number of light on 5 bushes  = 5x

and  the number of light on 3 tress  = 3 y

⇒ 5 x  + 3 y = 56

Now, solving the system of equations:

2 x  + 3 y = 44

5 x  + 3 y = 56

Subtract equation (2) from (1), we get

2 x  + 3 y  - (5 x  + 3 y)  = 44   - 56

or, 2x - 5x = - 12

or, 3x  =  12 ⇒ x =  12/3  = 4    or x  = 4

Using x  = 4 in 2x + 3y = 44

2(4)  + 3y  =  44

or, 3y = 44- 8 = 36

or y = 36 /3 = 12 or y  = 12

So, the value of x  = 4, and y = 12

Hence, here Bob uses 4 stands of light on Bushes

and Bob uses 12 strands of lights on trees.

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3 years ago
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