A car dealership has 40 cars on the lot, 30% of which are silver. If the dealership receives a new shipment of 80 cars, 40% of which are not silver, what percentage of the total number of cars are silver?
A. 35%
B. 37.5%
C. 45%
D. 47.5%
E. 50%
The OA is E.
Source: Manhattan Prep
A car dealership has 40 cars on the lot, 30% of which are
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- ceilidh.erickson
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Original:
30% of 40 cars are silver --> 12 cars are silver.
New shipment:
40% are NOT silver --> 60% are silver
60% of 80 cars --> 48 silver cars
Total:
silver: 12 + 48 = 60
all: 40 + 80 = 120
60/120 = 50% of all cars are silver
The answer is E.
30% of 40 cars are silver --> 12 cars are silver.
New shipment:
40% are NOT silver --> 60% are silver
60% of 80 cars --> 48 silver cars
Total:
silver: 12 + 48 = 60
all: 40 + 80 = 120
60/120 = 50% of all cars are silver
The answer is E.
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
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Before the shipment, the car dealership has 0.3 x 40 = 12 silver cars. The shipment has 0.6 x 80 = 48 silver cars. Thus, after the shipment, the dealership has 12 + 48 = 60 silver cars out of a total of 40 + 80 = 120 cars. We see that the percentage of cars that are silver is 60/120 = 1/2 = 50%.swerve wrote:A car dealership has 40 cars on the lot, 30% of which are silver. If the dealership receives a new shipment of 80 cars, 40% of which are not silver, what percentage of the total number of cars are silver?
A. 35%
B. 37.5%
C. 45%
D. 47.5%
E. 50%
The OA is E.
Source: Manhattan Prep
Answer: E
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