Question

You are selling shirts to raise money for your favorite school club. Kurt buys one t-shirt and 4 sweatshirts for a total of $45. Renea buys 2 t-shirts and one sweatshirt for $20. How much is a t-shirt? How much is a sweatshirt?

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Answer 1

Explanation:

$\blue{\large{let \: number \: of \: T-shirts = x}}\\ \blue{\large{ number \: of \: sweatshirts = y}} \\ \blue{ \underline{\large{according \: to \: the \: question}} : } \\ x + 4y = 45 - (i) \\ 2x + y = 20 - (ii) \\ \blue{\underline{\large{multiply \: equation \: (i) \: by \: 2}}:}\\ 2x + 8y = 90 - (iii) \\ \blue{\underline{\large{Subtract \: e {q}^{n} \: (ii) \: in \: (iii)}}:} \\ 2x + 8y = 90 \\ 2x + y = 20 \\ - \: \: \: \: \: - \: \: \: \: \: \: - \: \: \: \: \: \: \: \: \\ - - - - - - - - \\ 7y = 70 \\ \boxed{y = 10} \\ \blue{\underline{\large{put \: the \: value \: of \: y \: in \: e {q}^{n} \: (i)}}:} \\ x + 4 \times 10 = 45 \\ x + 40 = 45 \\ \boxed{ x = 5} \\ \blue{\large{Number \: of \: T-shirts = 5}} \\\blue{\large{Number \: of \: sweatshirts = 10}} \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \green{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$

Answer 2

Refer to the attachment

Hope it helps you