Write and solve the inequality. let x represent the number of pairs of earrings julia can purchase.

a. 24x + 8 5 80

c. x + 24 = 80

xs3

x = 56

b. 8x + 24 < 80;

d. 8x + 24 > 80;

x 57

x7

x= 7 pairs,

Step-by-step explanation:

Here is the complete question: Julia has $80. She want to purchase a nail paint set for $24 and earrings. She spends the rest of the money on earrings. Each pair of earring cost $8. What is the maximum number of earring she can purchase? Write and solve the inequality. Let x represent the number of pairs of earrings Julia can purchase.

Given: Total amount= $80

           Cost of nail paint= $24

           Each pair of earring cost= $8

           Number of pair of earring is "x".

As we know Julia want a nail paint and earrings, also we know x is the number of earring, which Julia can purchase.

Total cost=

We can use the formula and values to form an inequality.

∴

⇒  (∵ Maximum Julia can spend is $80)

Inequality is  

Now, finding number of pair of earring purchased.

Solving  

subtracting 24 on both side

Cross multiplying both side.

∴

∴ Julia can purchase 7 pairs of earring.