Life Situation 3: On a Budget

Algebra Level 2

You have $50 and you want to buy some stationary. You want to buy 5 pencils, 3 erasers, 2 pens and 1 ruler. There are 3 shops to choose from: Shop A, Shop B or Shop C. The price of the stationary before discount are the same in all 3 shops: a pencil costs $3, an eraser costs $2, a pen costs $5 and a ruler costs $1.

All 3 shops are also having discounts. In Shop A you get 20% off on everything. In Shop B for every item you buy you get one more for free. In Shop C the only discount is that you can get 1 pencil, 1 eraser, 1 pen and 1 ruler for only $6.

You can buy more than what you need if it saves more money than just what you need. If you do not use the discount deal in the shops you buy them for normal price.

If you only have time to go to one shop, and want to use as little money as possible to buy everything you need, which shop should you go to?

Shop A Not Enough Information Shop B Shop C

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Anthony Teo
Aug 22, 2014

The normal price you need to pay without discount is $32.

In Shop A the price is $32-($32x20%)=$25.60.

In Shop B, because you only need to buy 3 pencils, 2 erasers, 1 pen and 1 ruler and you will get 6 pencils, 4 erasers, 2 pens and 2 rulers, which is more than what you need, the price is ($3x3)+($2x2)+$5+$1=$19.

In Shop C you buy 2 sets or the discount package and 3 more pencils and 1 more eraser. So the price is ($6x2)+($3x3)+$2=$23.

As you can see, you use the least money in Shop B.

Haha, reminds me of grocery shopping.

It seems to me that you should go to both shop B and shop C. You might want to add a disclaimer that there is only time to go to 1 shop.

Calvin Lin Staff - 6 years, 9 months ago

Log in to reply

OK Thanks.

Anthony Teo - 6 years, 9 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...