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In a certain state, schools pay 2% tax on food and 8% on stationary. A school placed a combined...

Expert replies
by AAPL » Sun Feb 02, 2020 11:49 am
Magoosh

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

OA D
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Source: — Problem Solving |

AAPL wrote:
Sun Feb 02, 2020 11:49 am
Magoosh

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

OA D
Say $x were spent on food; thus, $(500 – x) were spent on stationary.

Total tax = 2x/100 + 8(500 – x)/100 = 19

=< x = $350.

The correct answer: D

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AAPL wrote:
Sun Feb 02, 2020 11:49 am
Magoosh

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

OA D
Let x = the amount spent on food, and thus (500 - x) = the amount spent on stationery. Let’s create the equation for the sales tax:

0.02x + 0.08(500 - x) = 19

0.02 + 40 - 0.08x = 19

-0.06x = -21

-6x = -2100

x = 350

Answer: D

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