at a sale,josh bought 4 shirts and 3 pairs of jeans for $181.at the same store,mike bought 1 shirt and 2 pairs of jeans for $94.
what a deal. I suspect you want to start with what you know:
4s+3j = 181
1s+2j = 94
To find out how much each item costs, we can set up a system of equations:
Let's assume the cost of one shirt is "s" dollars and the cost of one pair of jeans is "j" dollars.
For Josh, he bought 4 shirts and 3 pairs of jeans for a total of $181. This can be represented by the equation:
4s + 3j = 181
For Mike, he bought 1 shirt and 2 pairs of jeans for a total of $94. This can be represented by the equation:
1s + 2j = 94
To solve these equations, we can use the method of substitution or elimination.
Let's solve this system of equations using the method of substitution:
From the first equation, we can isolate "s" and express it in terms of "j":
4s = 181 - 3j
s = (181 - 3j)/4
Now, we substitute this value for "s" into the second equation:
1((181 - 3j)/4) + 2j = 94
Let's simplify this equation:
(181 - 3j)/4 + 2j = 94
Multiply through by 4 to clear the fraction:
(181 - 3j) + 8j = 376
Combine like terms:
181 + 5j = 376
Subtract 181 from both sides:
5j = 195
Divide both sides by 5:
j = 39
Now that we know the cost of one pair of jeans is $39, we can substitute this value back into either equation to find the cost of one shirt.
Using the first equation:
4s + 3(39) = 181
4s + 117 = 181
4s = 64
s = 16
Therefore, the cost of one shirt is $16.
In conclusion, one shirt costs $16 and one pair of jeans costs $39.