Respuesta :
Answer:the price for one shirt is $7.5
the price for one pair of pants is $18.5
Step-by-step explanation:
Let x represent the price for one shirt.
Let y represent the price for one pair of pants.
Lisa goes to the mall one day and buys four shirts and three pairs of pants for $85.50. This means that
4x + 3y = 85.5 - - - - - - - - - -1
She returns the next day and buys three shirts and five pairs of pants for $115.00. This means that
3x + 5y = 115 - - - - - - - - - - - 2
Multiplying equation 1 by b3 and equation 2 by 4, it becomes
12x + 9y = 256.5
12x + 20y = 460
Subtracting, it becomes
- 11y = - 203.5
y = - 203.5/ -11 = 18.5
Substituting y = 18.5 into equation 1, it becomes
4x + 3×18.5 = 85.5
4x + 55.5 = 85.5
4x = 85.5 - 55.5 = 30
x = 30/4 = 7.5
Answer:
Shirts cost $7.50 each and pants cost $18.50 each.
Step-by-step explanation:
Let $s be the price of shirts and $p the price of pants. Therefore we have the system:
4s + 3p = 85.50
3s + 5p = 115.00
Multiply the first equation by - 3 and the second by 4:
-12s - 9p = - 256.50
12s + 20p = 460.00 Adding these 2 equations:
11p = 203.50
p = 18.50
Now find s:
4s + 3(18.50) = 85.50
4s = 30
s = 7.50.
