Answer:
15.75 each for the sweaters and
28.5 each for the jeans
Step-by-step explanation:
Let jeans = x and sweaters = y
4x + 3y = 161.25.... (i)
5x + 8y = 268.50...... (ii)
Multiply the first equation (i) with 5:
20x + 15y = 806.25....(iii)
Multiply the second equation (ii) with 4:
20x + 32y = 1074....(iv)
Eliminate the fourth equation (iv) and the third equation (iii):
20x + 32y = 1074
20x + 15y = 806.25
17y = 267.75
y = 267.75 / 17
y = 15.75
Substitute y = 15.75 into the first equation (i):
4x + 3(15.75) = 161.25
4x + 47.25 = 161.25
4x = 161.25 - 47.25
4x = 114
x = 114/4
x = 28.50
