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
Khong Pek Mao
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
He baked another 732 cookies.
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
BigDevil
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
(a) He had 2u/7u = 2/7 of his cookies left
On Thursday, he baked another 732 cookies -> he had 2u + 732;
and had twice of what he had on Monday.
Twice of what he had -> 14u
14u = 2u + 732
12u = 732
1u = 61
On Monday, he baked 7u -> 7 x 61 = 427 cookies
thanks BigDevil
BigDevil
You are welcome. 🙂
