# Primary 6 problem sum 3

• May 1st 2011, 06:28 PM
mytan1963
Primary 6 problem sum 3
Mr Tan had some bags in his shop. 4/5 of them were Mizuno brand, 3/4 of the remainder were Puma brand and the rest were Reebok brand.

Types of bags Amount earned per bag
Mizuno \$12
Puma \$15
Reebok \$8

The table above shows the amount he earned per bag. The ratio of the number of Mizuno bags sold to the number of Puma bags sold to the number of Reebok bags sold was 2:3:5.
If he sold 1/3 of the bags altogether and earned \$1635, how many Puma bags did he have at first?
• May 1st 2011, 09:29 PM
CaptainBlack
Quote:

Originally Posted by mytan1963
Mr Tan had some bags in his shop. 4/5 of them were Mizuno brand, 3/4 of the remainder were Puma brand and the rest were Reebok brand.

Types of bags Amount earned per bag
Mizuno \$12
Puma \$15
Reebok \$8

The table above shows the amount he earned per bag. The ratio of the number of Mizuno bags sold to the number of Puma bags sold to the number of Reebok bags sold was 2:3:5.
If he sold 1/3 of the bags altogether and earned \$1635, how many Puma bags did he have at first?

Start by letting \$\displaystyle n\$ be the number of Puma bags sold. Then \$\displaystyle 2n/3\$ is the number of Mizuni bags sold and \$\displaystyle 5n/3\$ is the number of Reebok.

So The amount earned is:

\$\displaystyle 12(2n/3)+15n+8(5n/3)=1635\$

Now solve for \$\displaystyle n\$, and multiply by three to get the initial stock of Puma.

CB