pears problem

Algebra Level 1

A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the afternoon?

160kg 260kg 120kg 240 kg

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2 solutions

Ashish Menon
May 23, 2016

Let the number of pears sold in the morning be x x and those sold in the afternoon be y y .
y = 2 x 2 x y = 0 1 x + y = 360 2 Adding 1 and 2 : 3 x = 360 x = 360 3 = 120 Substituting x = 120 in 2 : 120 + y = 360 y = 360 120 = 240 \begin{aligned} y & = 2x\\ 2x - y& = 0 \longrightarrow \boxed{1}\\ \\ x + y & = 360 \longrightarrow \boxed{2}\\ \\ \text{Adding}\boxed{1}\text{and}\boxed{2}:-\\ 3x & = 360\\ x & = \dfrac{360}{3}\\ & = 120\\ \\ \text{Substituting x = 120 in}\boxed{2}:-\\ 120 + y & = 360\\ y & = 360 - 120\\ & = \color{#69047E}{\boxed{240}} \end{aligned}

Pham Khanh
May 17, 2016

Call the amount of pears sold in the morning is x x . \implies The amount of pears sold in the afternoon is 2 x 2x . So 360 = 2 x + x = 3 x ( k g ) 360=2x+x=3x(kg) 2 x = 3 x × 2 3 = 360 × 2 3 = 360 × 2 / 3 = 720 / 3 = 240 \implies 2x=3x \times \frac{2}{3}=360 \times \frac{2}{3}=360 \times 2/3=720/3=\boxed{240}

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