Mr. Rose spent $63 for a sport jacket and a pair of slacks. If the jacket cost $33 more than the slacks, how much did he pay for each? Which system of equations represents the word problem if j is the jacket price and s is the price of the slacks? j + s = 63 and s - j = 33 j + s = 63 and j - s = 33 js = 63 andj/s = 33
Mathematics · High School · Tue Nov 03 2020
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Given the statement:
Mr. Rose spent $63 for a sport jacket and a pair of slacks.
Determine how much did he pay for each if the jacket cost $33 more than the slacks.
Solution:
In order to solve the given statement, we must simply equate the given in a representation.
Total Cost = $63
Cost of Jacket = 33 + x
Cost of Slacks = x
Equate the given values in a single equation, having the sum of 63.
(33 + x) + x = 63
33 + 2x = 63
Transpose 33 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changs.
2x = 63 - 33
2x = 30
Divide both sides by 2 in order to determine the value of x.
2x/2 = 30/2
x = 15
Cost of Slacks = $15
Cost of Jacket = $33 + $15
Cost of Jacket = $48
Total Cost:
= $15 + $48
= $63
Final answer:
Cost of Slacks = $15
Cost of Jacket = $48