Datan asks you "Hey Yosief, I have a question for you, if I gives 4 chocolate bars to each child at

Misael Sweeney

Misael Sweeney

Answered question

2022-02-12

Datan asks you "Hey Yosief, I have a question for you, if I gives 4 chocolate bars to each child at my party, I will have 38 left. If I give 7 chocolate bars each, I will have 2 chocolate bars left. How many children were there at my birthday party?"

Answer & Explanation

Keely House

Keely House

Beginner2022-02-13Added 13 answers

Step 1
Le the number of children at Datan's birthday be x
If he gives 4 chocolate bars to each child at his party i.e. in all
4×x
and he has 38 left, he must be having
4×x+38=4x+38
chocolate bars.
If Datan gives 7 chocolate bars to each child at his party i.e in all
7×x
and he has 2 left, he must be having
7×x+2=7x+2
chocolate bars.
Hence, as the two should be equal, we have
7x+2=4x+38
or
7x+24x2=4x+384x2
or
7x+24x2=4x+384x2
i.e 3x=36 and hence
x=363=12
There were 12 children at Datan's birthday party.

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