Question

1] The mall was having a buy one get one 25% off sale. Al purchases six identical items, and spend a total of $210. What's the original price of each item?

Answer 1

Data

• Buy one get one 25% off sale

,

• Six identical items

,

• Total spent: $210

Prodecure

• Using variable ,x ,as one item, we can build the following relation:

`x+0.75x+x+0.75x+x+0.75x=210`

x is the cost of the first item bought, and 0.75x represents the second item with 25% off. As the problem says there are 6 identical items, we can use just one variable only changing the 0.75.

Simplifying similar terms:

`(x+x+x)+(0.75x+0.75x+0.75x)=210`
`3x+3\cdot(0.75x)=210`
`3x+2.25x=210`
`5.25x=210`

Finally, dividing both sides of the equation by 5.25:

`(5.25x)/(5.25)=(210)/(5.25)`
`x=40`

Answer: the original price of each item is $40 without the discount and $30 with 25% off.