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Bunuel
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In a certain state, schools pay 2% tax on food and 8% on stationary. 14 Feb 2022, 09:45
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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5% (low)

Question Stats:

90% (02:17) correct 10% (02:21) wrong based on 97 sessions

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In a certain state, schools pay 2% tax on food and 8% on stationary. A school placed a combined order of $500 on food and stationary, and paid $19 on tax on the order. How much of that money was spent on food?

(A) $200
(B) $250
(C) $300
(D) $350
(E) $400
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D
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In a certain state, schools pay 2% tax on food and 8% on stationary. 14 Feb 2022, 11:29
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My Answer: (D) $350

My Approach:

Total amount spent: $500
let amount spent on Food be = x
Then amount spent on stationary = 500 -x

Total tax = tax on food + tax on stationary = 19

2% of x + 8% of (500-x) = 19
\(\\
\frac{2x}{100} +\frac{8(500-x)}{100} = 19\\
2x + 4000 - 8x = 1900\\
6x = 2100\\
x = 350\)
Ans (D) $350
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In a certain state, schools pay 2% tax on food and 8% on stationary. 14 Feb 2022, 14:04
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Bunuel
In a certain state, schools pay 2% tax on food and 8% on stationary. A school placed a combined order of $500 on food and stationary, and paid $19 on tax on the order. How much of that money was spent on food?

(A) $200
(B) $250
(C) $300
(D) $350
(E) $400
Show more

Let \(a\) be placed on Food and \(b\) be placed on Stationary
Therefore, we have \(a+b=500\) (1)

Tax on Food = \(0.02a\)
Tax on Stationary = \(0.08b\)
Therefore, we also have \(0.02a+0.08b=19\) (2)

Solving (1) and (2)
\(a=350\) and \(b=150\)

Hence, $350 was spent on Food, our answer is option D.
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In a certain state, schools pay 2% tax on food and 8% on stationary. 15 Feb 2022, 12:22
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Core of my solution is to use simulations equations to solve.

Let f = food and s = stationary;

f + s = 500

2% tax on food and 8% tax on stationary came to $19:

2f/100 + 8s/100 = 19

f/50 + 2s/25 = 19 (Times by 50 to get rid of the denominators)

f + 4s = 950


Set up the simulations equations:

f + 4s = 950
-
f + s = 500
------------------------
3s = 450
s = 150


Plug into original equation:

f + s = 500
f = 350

==> D
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In a certain state, schools pay 2% tax on food and 8% on stationary. 04 May 2023, 08:39
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Bunuel
In a certain state, schools pay 2% tax on food and 8% on stationary. A school placed a combined order of $500 on food and stationary, and paid $19 on tax on the order. How much of that money was spent on food?

(A) $200
(B) $250
(C) $300
(D) $350
(E) $400
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\(\frac{19}{500}*100 = 3.80\)


2___________________________8

____________3.80____________

4.20______________________1.80





Thus, amount spend on food is \(\frac{4.20}{6.00}*500 = 350\), Answer is clearlly (D)
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