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Use Polya's four-step problem solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise. A shirt and a tie together cost $57. The shirt costs $21 more than the tie. What is the cost of the shirt?

Respuesta :

Answer:

$ 30

Step-by-step explanation:

Let x be the cost of tie ( in dollars ),

∵ The  shirt costs $21 more than the tie,

So, the cost of shirt = x + 21

Thus, the cost of a tie and a shirt = x + x + 21 = 2x + 21,

According to the question,

2x + 21 = 57

2x = 57 - 21

2x = 36

x = 18

Hence, the cost of the shirt = 18 + 12 = $ 30