In this page word problem solution4 we are going to
see solution for first word problem of the worksheet cross multiplication
method.

Formulate the following problems as a pair of equations,and hence find their solutions:

(ii) Three chairs and two tables cost $700 and five chairs and three tables cost $1100.What is the total cost of 2 chairs and 3 tables.

**Solution:**

Let x be the cost of one chair

Let y be the cost of one table

To form the first equation we have to consider this particular information from the question that is three chairs and two tables cost $700

3 x + 2 y = 700 ----- (1)

To form the first equation we have to consider this particular information from the question that is five chairs and three tables cost $1100

5 x + 3 y = 1100 ----- (2)

Multiply the first equation by 3 we get

9 x + 6 y = 2100

Multiply the second equation by 2 we get

10 x + 6 y = 2200

9 x + 6 y = 2100

10 x + 6 y = 2200

(-) (-) (-)

---------------------------

-x = -100

x = 100

Substitute x = 100 in the first equation we get

3 x + 2 y = 700

3 (100) + 2 y = 700

300 + 2 y = 700

2 y = 700 - 300

2 y = 400

y = 400/2

y = 200

Therefore the cost of one chair = $100

Cost of one table = $200

**Verification:**

3 x + 2 y = 700

3(100) + 2(200) = 700

300 + 400 = 700

700 = 700

word problem solution4 word problem solution4

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- Mixed word problems

(i) One number is greater than thrice
the other number by 2. If 4times the smaller number exceeds the greater by 5,
find the numbers. Solution

(ii) The ratio of income of two persons is 9:7 and the ratio of their expenditure is 4:3.If each of them manages to save $2000 per month, find their monthly income. Solution

(iii) A two digit number is seven times the sum of its digits. The number formed by reversing the digits is 18 less than the given number. Find the given number. Solution

(v) In a rectangle,if the length is increased and breadth is reduced each by 2 cm then the area is reduced by 28 cm ². If the length is reduced by 1 cm and the breadth is increased by 2 cm,then the area increases by 33cm². Find the area of the rectangle. Solution

(vi) A train traveled a certain distance at a uniform speed. If the train had been 6 km/hr faster,it would have taken 4 hours less than the scheduled time. If the train were slower by 6km/hr, then it would have taken 6 hours more than the scheduled time. Find the distance covered by the train. Solution