Question

4. On Monday, a department store sold 30 white and blue sweaters in total. If a white sweater is 398 baht, and a blue sweater is 420 baht, the total sales are 12,424 baht. How many sweaters in each color did this department store sell?

Answer 1

The number of white sweaters will be 8 while the number of blue sweaters will be 22.

• Let white sweaters be represented by w.
• Let blue sweaters be represented by b

Therefore, the equation to solve the question will be:

b + w = 30 .....i

420b + 398w = 12424 .... ii

From equation i, b = 30 - w

Since 420b + 398w = 12424

420(30 - w) + 398w = 12424

12600 - 420w + 398w = 12424

Collect like terms

- 420w + 398w = 12424 - 12600

-22w = - 176

w = 176/22 = 8

Since b + w = 308

b = 30 - 8 = 22

Therefore, there are 8 white and 22 blue sweaters.

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