One day you went to the three dollar store. of course all items you chose were $3. this store is a city with no sales tax on food, but an 5% tax on non food items. you paid the bill of $34.05. how many of each type of item did you buy?

I buy 4 food items and 7 non-food items from the store.

Step-by-step explanation:

The food items in the store are sold at $3 each and the non-food items are sold at $3 plus 5% tax.

So, the cost of each non-food items will be dollars.

If we consider that I buy 1 food item, then I buy $(34.05 - 3) = $31.05 of non-food items which is not a multiple of $3.15.

If I buy 2 food items, then I buy $(31.05 - 3) = $28.05 of non-food items which is again not a multiple of $3.15.

If we consider that I buy 3 food items, then I buy $(28.05 - 3) = $25.05 of non-food items which is again not a multiple of $3.15.

If I buy 4 food items, then I but $(25.05 - 3) = $22.05 of non-food items which is finally a multiple of $3.15 as (3.15 × 7) = 22.05.

Therefore, I buy 4 food items and 7 non-food items from the store. (Answer)

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: