Question

Molly buys 2 dresses and 3 pairs of pants for $675. The cost of a pair of pants is $25 less than the cost of a dress.a. If a dress cost $x write down, in terms of x, the cost of a pair of pants.b. Form an equation in x and solve itHow much is the cost of i. A dress? ii. A pair of pants

Answer 1

A)

If the dress costs x and the pair of pants cost $25 dollars less, the cost of the pants will be:

`x\text{ - 25}`

B)

We know that the dress costs x and the pants cost x-25. Molly bought 2 dresses and 3 pairs of pants, with the total amount of $675. Thus:

`2x\text{ + 3(x-25) = 675}`
`2x\text{ + 3x - 75 = 675}`
`5x\text{= 675}+75`
`x=\text{ 150}`

If x is the dress cost, so the dress will cost $150. And the pants:

`x\text{ - 25}`
`150\text{ - 25}`
`125`

The pants will cost $125.