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.
Answer:
w = [tex] \frac{37}{59}\\ [/tex]
Step-by-step 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.
[tex] \sf \small \frac{ 2950w}{2950} = \frac{1850}{2950}\\[/tex]
Step 7 :- Reduce fraction of both sides.
w = [tex] \frac{37}{59}\\ [/tex]
