Introduction to Answer math teasers:
Math teasers are brain teasers form math and answers for the given brain teasers. Answers math teasers are challenging problems from math that gives a mind work. The difficulty of the problem make the students think more about the problems. Like the muscles which need exercises to keep in shape, brain teasers work as a exercise for keeping our mind sharp. Let us see answers math teasers, that is brain teasers from math. I like to share this pre algebra answers with you all through my article.
Answer math teasers:
Example 1:
Madison is twice as good a workman as Major and together they finish a piece of work in 18 days. In how many days will Madison alone finish the work?
Solution:
(madison 1 day’s work): (major’s 1 day’s work) = 2:1.
(Madison + major’s) 1 day’s work = `1/18` .
Divide the `1/18` in ratio of 2:1.
Therefore madison’s 1 day’s work = `(1/18 * 2/3)` = `1/27` .
Hence, Madison alone can finish the work in 27 days.
Example 2:
Dace and Ajay work together can dig a ditch in 8 hrs. dace alone can dig it in 12 hrs. In how many hours, Ajay alone can dig such a ditch?
Solution:
(dace +Ajay)’s one hour’s work =`1/8` , dace’s one hour’s work =`1/12`
Therefore, ajay’s one hour’s work = `(1/8-1/12)` =`1/24` .
Hence, Ajay alone can dig the ditch in 24 hours.
Answer math teasers:
Example 3:
Jack started a business by investing 36000 dollars. After 3 months walker joined him by investing 36000 dollars Annual profit of both is 37100 dollars, find the share of each?
Solution:
Ratio of jack’s vs walker capitals= 36000*12 : 36000*9 = 4:3
Jack’s share=(37100*4/7 ) = 21200 dollars.
Walker share=(37100*3/7) = 15900 dollars.
Example 4:
Rad, jack and walker start a business each investing 20000 dollars After 5 months Rad withdrew 5000 dollars, jack withdrew 4000 dollars and walker invests 6000 dollars more. Total profit is 69,900 dollars was got at the end of year. Find each ones share.
Solution:
Ratio of the capitals of Rad, jack and walker
= (20000*5+ 15000*7) : (20000*5+16000*7): (20000*5+26000*7)
=205000: 212000 : 282000 = 205:212:282
Therefore, Rad’s share = ( 69900*205/699) = 20,500 dollars
Jack’s share = (69900*212/699) = 21200 dollars
Walkers’s share = (69900*282/699) = 28200 dollars
Math teasers are brain teasers form math and answers for the given brain teasers. Answers math teasers are challenging problems from math that gives a mind work. The difficulty of the problem make the students think more about the problems. Like the muscles which need exercises to keep in shape, brain teasers work as a exercise for keeping our mind sharp. Let us see answers math teasers, that is brain teasers from math. I like to share this pre algebra answers with you all through my article.
Answer math teasers:
Example 1:
Madison is twice as good a workman as Major and together they finish a piece of work in 18 days. In how many days will Madison alone finish the work?
Solution:
(madison 1 day’s work): (major’s 1 day’s work) = 2:1.
(Madison + major’s) 1 day’s work = `1/18` .
Divide the `1/18` in ratio of 2:1.
Therefore madison’s 1 day’s work = `(1/18 * 2/3)` = `1/27` .
Hence, Madison alone can finish the work in 27 days.
Example 2:
Dace and Ajay work together can dig a ditch in 8 hrs. dace alone can dig it in 12 hrs. In how many hours, Ajay alone can dig such a ditch?
Solution:
(dace +Ajay)’s one hour’s work =`1/8` , dace’s one hour’s work =`1/12`
Therefore, ajay’s one hour’s work = `(1/8-1/12)` =`1/24` .
Hence, Ajay alone can dig the ditch in 24 hours.
Answer math teasers:
Example 3:
Jack started a business by investing 36000 dollars. After 3 months walker joined him by investing 36000 dollars Annual profit of both is 37100 dollars, find the share of each?
Solution:
Ratio of jack’s vs walker capitals= 36000*12 : 36000*9 = 4:3
Jack’s share=(37100*4/7 ) = 21200 dollars.
Walker share=(37100*3/7) = 15900 dollars.
Example 4:
Rad, jack and walker start a business each investing 20000 dollars After 5 months Rad withdrew 5000 dollars, jack withdrew 4000 dollars and walker invests 6000 dollars more. Total profit is 69,900 dollars was got at the end of year. Find each ones share.
Solution:
Ratio of the capitals of Rad, jack and walker
= (20000*5+ 15000*7) : (20000*5+16000*7): (20000*5+26000*7)
=205000: 212000 : 282000 = 205:212:282
Therefore, Rad’s share = ( 69900*205/699) = 20,500 dollars
Jack’s share = (69900*212/699) = 21200 dollars
Walkers’s share = (69900*282/699) = 28200 dollars
