Math  /  Algebra

QuestionТом, жижиг ачааны машины даац нийлээд 14 тонн бөгөөд 10 том, 22 жижиг ачааны машин байв. Жижиг машины даацыг xx гэвэл том машинуудын даац нийлээд хэд болох вэ?

Studdy Solution

STEP 1

1. The total capacity of all the trucks combined is 14 tons.
2. There are 10 large trucks and 22 small trucks.
3. The capacity of each small truck is x x tons.
4. We need to find the total capacity of the large trucks.

STEP 2

1. Write an equation for the total capacity.
2. Solve for the total capacity of the large trucks.

STEP 3

Write an equation for the total capacity.
The total capacity of the trucks can be expressed as the sum of the capacities of the small and large trucks. If each small truck has a capacity of x x tons, then the total capacity of the small trucks is 22x 22x . Let T T be the total capacity of the large trucks. The equation is:
22x+T=14 22x + T = 14

STEP 4

Solve for the total capacity of the large trucks.
Rearrange the equation to solve for T T :
T=1422x T = 14 - 22x
This equation gives the total capacity of the large trucks in terms of x x .

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