Question

50(60w-30)=50w+350

find the value of w​

Answer 1

w =
`(37)/(59)\\`

Explanation:

Given expression :-

50 ( 60w - 30 ) = 50w + 350

We need to find the value of w ;-

Let's solve:-

50 ( 60w - 30 ) = 50w + 350.

Step 1 :- Distribute 50.

50 × 60w + 50 × -30 = 50w + 350.

3000w - 1500 = 50w + 350.

Step 2 :- Move constant to the right-hand side and change their sign.

3000w = 50w + 350 + 1500

Step 3 :- Add both numbers.

3000w = 50w + 1850.

Step 4 :- Move variable to the left-hand side and change their sign.

3000w - 50w = 1850.

Step 5 :- Subtract 50w from 3000w.

2950w = 1850.

Step 6 :- Divide both side by 2950.

`\sf \small ( 2950w)/(2950) = (1850)/(2950)\\`

Step 7 :- Reduce fraction of both sides.

w =
`(37)/(59)\\`

Answer 2

Now we have to,

find the required value of w.

Let's begin,

→ 50(60w-30) = 50w + 350

→ 3000w - 1500 = 50w + 350

→ 3000w - 50w = 350 + 1500

→ 2950w = 1850

→ w = 1850/2950

→ w = 37/59

Hence, value of w is 37/59.