Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy? Solve your inequality by showing your work and steps. (10 points)
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Sprinkles285:
Can someone help me please???
minustempo:
So if she spent 4.25 on a notebook, how much does she have after buying the notebook?
Sprinkles285:
$14.75
Sprinkles285:
what about tax that is included?
minustempo:
yeah the problem says it's included
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minustempo:
But 18-4.25 isn't 14.75, it's 13.75
Sprinkles285:
are u sure?
minustempo:
yes 18-4 is 14
14-0.25 is 13.75
Ok so if she wants to save 9.75, how much can she use?
Jaynater:
Let's first begin by writing your inequality. Fiona has some 18 dollars to spend, but can't go over 9.75 as she needs to save that amount. Since she's already spend 4.75 on a notebook, including tax, she wants to buy crackers that are .50 each. Can you come up with an inequality for this?
Sprinkles285:
oop i meant $13.75
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Sprinkles285:
@sprinkles285 wrote:
oop i meant $13.75
Thats embarrassing
Sprinkles285:
@jaynater wrote:
Let's first begin by writing your inequality. Fiona has some 18 dollars to spend, but can't go over 9.75 as she needs to save that amount. Since she's already spend 4.75 on a notebook, including tax, she wants to buy crackers that are .50 each. Can you come up with an inequality for this?
nope I'm bad at that
Jaynater:
Okay, so she can't spend more than 13.75? I'm a little confused here.
Sprinkles285:
ok is there someone who really understands this???
Jaynater:
I understand it completely, but the 13.75 value that you said you meant has thrown me off. Is the original question worded correctly?
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Sprinkles285:
yeah but what about the tax?
Jaynater:
The notebook cost had tax included, that was given.
Sprinkles285:
oh
Sprinkles285:
@sprinkles285 wrote:
oh
OHHHHHHHHHHHHHHHHHHHHHHHh
Jaynater:
@sprinkles285 wrote:
@jaynater wrote:
Let's first begin by writing your inequality. Fiona has some 18 dollars to spend, but can't go over 9.75 as she needs to save that amount. Since she's already spend 4.75 on a notebook, including tax, she wants to buy crackers that are .50 each. Can you come up with an inequality for this?
nope I'm bad at that
Alright, so If she can't go over 9.75, then the cost of our notebook plus the amount of the crackers she wants to buy can not exceed that number. 9.75 ≥ 18 - (4.75+ 0.50x) would be our inequality. We solve it like a normal problem that has an = sign separating the two sides.
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Jaynater:
This is because she has eighteen dollars to spend, and we must have what she spends deducted from the total she has, which is 18. However, what she spends must be less than or equal to 9.75