Question

Jenny has been saving quarters in a piggy bank since she was born. She currently has 192 quarters in her piggy bank. She wants to save $75 to buy a new Ipod, so she decides to add 2 quarters every day. She sets up and solves the equation shown. What does her solution mean?
y = 192(.25) + .25x
75 = 192(.25) + .25x
27 = .25x
x = 108

Question 1 options:

She needs to save an additional $108.


She needs to save 216 more quarters.


She needs to save for 108 more days.


She needs to save an additional 108 quarters.

Answer 1

Answer: It shows She needs to save for 108 more days.

Step-by-step explanation:

Given: Jenny has 192 quarters in piggy bank.

We know that 1 dollar= 4 quarters

1 quarters = $0.25

192 quarters$=192\times0.25$

She wants to save amount = $75

Let x be the number of days, then we have

$y=192(0.25)+(0.25)x\\\\\Rightarrow75=48+0.25x\\\\\Rightarrow0.25x=27\\\\\Rightarrow\ x=\frac{27}{0.25}\\\\\Rightarrow\ x=108$, where x is the number of days.

It shows she needs to save for 108 more days.

Answer 2

She needs to save an additional 108 quarters.