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Andrew is going shopping for shoes and hoodies. Hoodies cost one-fourth the price of a pair of shoes. If he has $250 to spend , write the equation representing his shopping scenario in Standard form.

Respuesta :

Answer:

The equation representing his shopping scenario;

y = 250 - x

where; y = $50 and x = $200

Step-by-step explanation:

let the cost of a pair of shoes = x

then, the cost of Hoodies, y  = (¹/₄)x

The total cost of Andrew's shoes and hoodies should be equal to the amount he has to spend.

Total amount he has to spend = $250

x + y = $250

x + (¹/₄)x = 250

[tex]\frac{4x + x}{4} = 250\\\\ \frac{5x}{4} = 250\\\\5x = 1,000\\\\x = \frac{1,000}{5}\\\\x = \$ 200[/tex]

the cost of Hoodies, y =  (¹/₄)x

y = (¹/₄)($200)

y = $50