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24 votes
24 votes
peter bought 3 suits and 3 pairs of jeans and paid $2397. James bought 8 suits and 11 pairs of jeans and paid $6989. What is the price of each?

User Vineel Kumar Reddy
by
2.9k points

1 Answer

17 votes
17 votes

Answer:

Therefore each suit cost $600 and each jean cost $199

Explanation:

Let x represent the price of each suit and let y represent the price of each jeans.

Since 3 suits and 3 pairs of jeans cost $2397, this can be represented by the equation:

3x + 3y = 2397

Dividing through by 3:

3x/3 + 3y.3 = 2397/3

x + y = 799 (1)

Also, 8 suits and 11 pairs of jeans cost $6989, this can be represented by the equation:

8x + 11y = 6989 (2)

To find x and y, solve equation 1 and 2 simultaneously. Multiply equation 1 by 8 and subtract from equation 2 to get y:

3y = 597

y = $199

Put y = $199 in equation 1:

x + 199 = 799

x = $600

Therefore each suit cost $600 and each jean cost $199.

User Abhishek
by
3.2k points
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