Answer:
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Solution:
<u>Note that:</u>
- 3x + 50 = 6x - 10 (Vertically opposite angles)
Simplify the equation to find x.
<u>Add 10 both sides.</u>
- 3x + 50 = 6x - 10
- => 3x + 50 + 10 = 6x - 10 + 10
- => 3x + 60 = 6x
<u>Subtract 3x both sides.</u>
- 3x + 60 = 6x
- => 3x - 3x + 60 = 6x - 3x
- => 60 = 3x
<u>Divide 3 both sides.</u>
- 60 = 3x
- => 60/3 = 3x/3
- => x = 20
Since the rate of the other store is not given, let us just get the sales price of the skirt Dima bought from the discount store.
Original price : $54
Discount rate : 30%
$54 x 30% = $16.20 value of the discount
$54 - 16.20 = $37.80 discounted price.
Since Dima's friend told her she could have had a better deal at a different store, this means that the discount rate is higher than 30%. Let us assume that the discount is 35%
$54 x 35% = $18.90 value of the discount
$54 - 18.90 = $35.10 discounted price.
Discount store: $37.80
Different store: $35.10
Different store sales price is cheaper by $2.70
