Mr T's salary is $800 less than 3 times of his wife's salary. His wife's salary is 4/10 as much as his. how much is their total monthly salary?(non-algebra method pls)
3W-800=T
W=4/10 T
can you take if from here/
I'm sorry, I can't get it, pls help clarify. thanks
bobpursley had this:
Wife's salary = W
Mr T;s salary = 3W - 800
then it said: "His wife's salary is 4/10 as much as his" ----> W = (4/10)T , again as bobpursley told you
but T = 3W-800
so
W = (4/10)(3W-800)
times 10
10W = 4(3W-800)
10W = 12W - 3200
3200 = 2W
W = 1600
then T = 3(1600) -800 = 4000
check: is 1600 equal to 4/10 of 4000 ?
To find the total monthly salary without using algebra, we can solve this problem step by step.
Step 1: Let's assume Mr T's wife's salary as a certain amount. For simplicity, let's assume her salary is $100.
Step 2: According to the given information, Mr T's wife's salary is 4/10 (or 40%) as much as Mr. T's salary. So, if his wife's salary is $100, then Mr T's salary would be 40% larger. Adding this to his wife's salary, we get:
Mr T's salary = $100 + (40% of $100)
= $100 + ($40)
= $140
Step 3: Now, we know that Mr T's salary is $140, but also that his salary is $800 less than 3 times his wife's salary. So, we calculate 3 times his wife's salary and subtract $800 from it:
3 times his wife's salary = 3 x $100
= $300
Mr T's salary = $300 - $800
= -$500
Step 4: Uh-oh, it seems like we made a mistake or encountered a contradiction. As we cannot have a negative salary, it indicates that our initial assumption was incorrect.
Step 5: Let's reconsider the wife's salary amount. Since we know she earns 4/10 (40%) as much as Mr T, we can find a value that is 40% of Mr T's salary:
40% of Mr T's salary = 40% of $x
= $800
Step 6: Now, we can solve for Mr T's salary by dividing $800 by 40% (or 0.4):
Mr T's salary = $800 / 0.4
= $2000
Step 7: We have found that Mr T's salary is $2000. To find the wife's salary, we can use the given information that her salary is 4/10 (40%) as much as Mr T's salary:
Wife's salary = 40% of Mr T's salary
= 40% of $2000
= $800
Step 8: Finally, to find the total monthly salary, we add Mr T's salary to his wife's salary:
Total monthly salary = Mr T's salary + Wife's salary
= $2000 + $800
= $2800
Therefore, their total monthly salary is $2800.