Respuesta :
Answer:
x= 7 pairs, [tex]24+8x\leq 80[/tex]
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= [tex](cost\ of\ each\ nail\ paint)\times quantity + (cost\ of\ each\ earring\ pair)\times quantity[/tex]
We can use the formula and values to form an inequality.
∴ [tex](\$24\times 1)+ (\$8 \times x)\leq \$ 80[/tex]
⇒ [tex]24+8x\leq 80[/tex] (∵ Maximum Julia can spend is $80)
Inequality is [tex]24+8x\leq 80[/tex]
Now, finding number of pair of earring purchased.
Solving [tex]24+8x\leq 80[/tex]
subtracting 24 on both side
[tex]8x\leq 56[/tex]
Cross multiplying both side.
∴ [tex]x= \frac{56}{8} = 7\ pairs\ of\ earring[/tex]
∴ Julia can purchase 7 pairs of earring.
