A man ate 100 grapes in 5 days. Each day he ate 6 more grapes than those he ate on the previous day. How many grapes did he eat the first day? With solution.
Answers
Answered by
19
Heya mate, Here is ur answer
The question can be solved by using Arithmetic Progression.
Total Grapes (Sn ) = 100
Term in AP(n) (no of days) = 5
Common difference = 6
an = a+(n-1) d
an = a+ (5-1) 6
an = a + 4×6
an = a + 24
an -24 = a ----(1)
Sn = n/2 (a+an)
100 = 5/2 ( an-24 +an)
100 ×2/5 = 2an -24
40 = 2an -24
40+24=2an
64 = 2 an
64/2 = an
32 = an
a = an-24
a= 32-24
a = 8
So., the man ate 8 apples on first day.
Let us now check our results
Apples - 8 , 8+6 , 8+6 +6 , 8+6+6+6 , 8+6+6+6+6
=8,14,20,26,32
= 100
Warm regards
@Laughterqueen
Be Brainly ✌✌
The question can be solved by using Arithmetic Progression.
Total Grapes (Sn ) = 100
Term in AP(n) (no of days) = 5
Common difference = 6
an = a+(n-1) d
an = a+ (5-1) 6
an = a + 4×6
an = a + 24
an -24 = a ----(1)
Sn = n/2 (a+an)
100 = 5/2 ( an-24 +an)
100 ×2/5 = 2an -24
40 = 2an -24
40+24=2an
64 = 2 an
64/2 = an
32 = an
a = an-24
a= 32-24
a = 8
So., the man ate 8 apples on first day.
Let us now check our results
Apples - 8 , 8+6 , 8+6 +6 , 8+6+6+6 , 8+6+6+6+6
=8,14,20,26,32
= 100
Warm regards
@Laughterqueen
Be Brainly ✌✌
shivam7486:
hi
Answered by
20
Answer:
8 grapes.
Step-by-step explanation:
g +(g+6)+(g+12)+(g+18)+(g+24)=100
5g+60=100.
5g=100-60.
5g=40.
g=40/5.
g=8.
hope it will help you.
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