Question

Sally and Will are very picky eaters. At the start of dinner, Sally pushed half of her peas onto Will's plate. Then, when their mom wasn't looking, Will pushed half of his peas onto Sally's plate. Finally, Sally once again pushed half of her peas onto Will's plate. When their mom said they would get no dessert if they didn't eat their vegetables, Sally had 25 peas on her plate and Will had 47 peas on his plate. How many peas did Sally have at first?

Answer 1

Considering the total of peas is 72, Sally's initial number of peas was 56.

What is the total of peas?

Assuming the two brothers did not eat any peas, the total of peas both at the beginning and end is 72 peas.

• 25 + 47 = 72 peas

By the end, Sally has 25 peas and Will has 72 peas.

How many peas did Sally have before?

Before the mother declared none of them would have dessert Sally had given Will half of her peas. This means 25 peas represent half of the peas:

25 x 2 = 50 peas        22 peas in Will's plate

Before this, Will had given Sally half of his peas

22 peas x 2 = 44 peas              28 peas on Sally's plate

Right before this, Sally gave Will half of her peas:

28 x2 = 56 peas                      16 peas on Will's plate

Let's check this answer:

S= 56            W= 16         -Beginning

S= 28            W=44         - Sally gives Will half of her peas

S= 50            W=22          - Will gives sally half of his peas

S=25             W= 47         -Sally gives will half of her peas

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