Question

karen is buying new clothes. her favorite store has shirts on sale for $10 and pants for $20. she wants to buy at least 6 items to mix and match and spend no more than $100 before taxes.

write the system of inequalities that could be used to solve the problem. DON'T SOLVE

Answer 1

The required inequalities to solve the problem are :

c + y = 6

c + y = 610c + 20y ≤ 100

Let :

Number of shirts = c

Number of shirts = c Number of pants = y

Number of shirts = c Number of pants = y Total number of items = 6

Hence,

c + y = 6 - - - (1)

Maximum amount spent = $100

(cost of shirt × Number of shirt) + (cost of pant × number of pant) ≤ 100

(10 × c) + (20 × y) = 10c + 20y ≤ 100 - - - (2)

The required inequalities are :

c + y = 6

c + y = 610c + 20y ≤ 100

Learn more : https://brainly.com/question/15748955