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# help

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A fruit company delivers it’s fruit and two types of boxes large and small delivery of five large boxes and six more boxes has a total weight of 175 kg a delivery of three large boxes and two small boxes has a total weight of 83 kg how much does each type of box weigh ?

Apr 6, 2020

#1
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Apr 6, 2020
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Let a be the weight of Large box

and Let b be the weight of Small box

therefore, the equation will be

=>  5a + 6b = 175kg ----------(1)

3a + 2b = 83kg ------(2)

now, Multiplying  equation (2) by 3 on both sides

we get,

3a*3  + 2b*3 = 83*3

=>  9a + 6b = 249 -----(3)

now subtracting equ. 2 and equ. 3

we get,

5a + 6b = 175

(-) 9a(-)+6b =(-)249

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=>  -4a = -74

a =  -74/-4

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/   a=  18.5   /

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Therefore the weight of the large box is 18.5 kg

now ,

subtituting value of a in equation b

we get,

3a + 2b = 83

=> 3*(18.5) + 2b = 83

55.5 + 2b = 83

2b = 83 - 55.5

2b = 27.5

b = 27.5 / 2

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/   b = 13.75    /

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Therefore the weight of the small box is 13.75kg

and the weight of large box is 18.5kg

Apr 6, 2020