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David, Peter and Andrew shared a bag of sugared buns. David took

1/2 the bag of sugared buns and half a bun. Peter took 1/2 the remaining bag

of sugared buns and half a bun. Andrew took the rest. If Andrew

received 7 sugared buns, how many sugared buns were there in the bag

at first?

Guest Oct 2, 2021

asinus · Answer 1 · 2021-10-03T12:07:44

How many sugared buns were there in the bag at first?

Hello Guest!

\(\dfrac{x+1}{2}+\dfrac{1}{2}(x-\dfrac{x+1}{2})+7=x\\ 0.5x+0.5+0.5x-0.25x-0.25+7-x=0\\ -0.25x=-7.25\)

\(x=29\)

29 sugared buns were there in the bag at first.

(15 at David, 7 at Peter, 7 at Andrew)

!