Question

Need help!

A baker baked some cookies on Monday.  He sold 3/7 of them on Tuesday and 1/2 of the rest on Wednesday.

a. what faction of the cookies were left?

b. the baker baked another 732 cookies on Thursday and then he had twice as many cookies as he had on Monday.  How many cookies did he bake on Monday?

Source: Pei Chun Public

Hi,

This is a Remainder question.

We shall first list out the information.

 Sold sold Left Total Monday 3u 4u 7u Tuesday 1 1 2 CR 6u 4u 4u 14u

So after Tuesday, he left with 4u out ofor 14u.

4/14 = 2/7

The last ratio become 1 : 2.

14u / 1 = (4u + 732)/2

28u = 4u + 732

28u – 4u = 732

24u = 732

1u = 30.5

14u = 14 × 30.5 = 427

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On Monday, he baked 7u cookies.

On Tuesday, he sold 3/7 x 7u = 3u cookies; left 4u cookies

On Wednesday, he sold 1/2 x 4u = 2u cookies; left 2u cookies

On Thursday, he baked another 732 cookies -> he had 2u + 732;

Twice of what he had -> 14u

14u = 2u + 732

12u = 732

1u = 61

On Monday, he baked 7u -> 7 x 61 = 427 cookies