Aman ate 100 bananas in five days, each day eating 6 more than the previous day. how many bananas did he eat on the first day?

The number of bananas consumed by the man on first day is 8.

Solution:

Given that  

Number of bananas consumed by man = 100

Number of day in which bananas we consumed = 5

Also given that each day eating 6 more than the previous day

Need to calculate the number of bananas consumed on first day

Let us assume number of bananas consumed of first day = x

As it is given that each day, he eats 6 more than previous day,

So number of bananas consumed on second day = number of bananas consumed of first day + 6 = x + 6

Similarly number of bananas consumed on third day =

Number of bananas consumed on fourth day =

Number of bananas consumed on Fifth day =

So total banana consumed in 5 days =

Total banana consumed in 5 days =

But it’s given that total banana consumed in 5 days = 100

On solving above expression for x, we get

Hence number of bananas consumed on first day is equal to 8.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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