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Math  /  Numbers & Operations

Question1. Машины үйлдвэр A, B, C, D загваруудыг 7:5:3:17: 5: 3: 1 харьцаатайгаар үйлдвэрлэдэг. Үйлдвэрлэсэн 48000 машины хэд нь С загварынх байх вэ? A 15000 B. 9000 C. 21000 D. 3000 E. 6000

Studdy Solution

STEP 1

1. The ratio of cars produced in models A, B, C, and D is 7:5:3:1 7:5:3:1 .
2. A total of 48000 48000 cars are produced.
3. We need to find the number of cars that are model C.

STEP 2

1. Define the ratio components.
2. Calculate the total parts in the ratio.
3. Determine the number of model C cars.

STEP 3

Identify the components of the ratio for models A, B, C, and D.
- Model A: 7 7 parts - Model B: 5 5 parts - Model C: 3 3 parts - Model D: 1 1 part

STEP 4

Calculate the total number of parts in the ratio.
7+5+3+1=16 parts7 + 5 + 3 + 1 = 16 \text{ parts}

STEP 5

Determine the number of model C cars by using the ratio.
3 parts for C16 total parts=x model C cars48000 total cars\frac{3 \text{ parts for C}}{16 \text{ total parts}} = \frac{x \text{ model C cars}}{48000 \text{ total cars}}

STEP 6

Solve for x x by multiplying both sides by 48000 48000 .
316=x48000\frac{3}{16} = \frac{x}{48000} (48000)(316)=(x48000)(48000)(48000)\left(\frac{3}{16}\right) = \left(\frac{x}{48000}\right)(48000) (48000)(316)=x(48000)\left(\frac{3}{16}\right) = x

STEP 7

Calculate the number of model C cars.
(48000)(316)=14400016=9000(48000)\left(\frac{3}{16}\right) = \frac{144000}{16} = 9000
The number of model C cars is:
9000\boxed{9000}

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