Question

In a bag of mixed nuts, there are 7 walnuts for every 2 peanuts. If the bag contains 90 nuts in all, find the number of walnuts and peanuts it contains

Answer 1

Answer:

walnuts : peanuts

7 : 2

Total nuts =90

No. of walnuts = 90×7/9 =70

No.of peanuts = 90 ×2/9 = 20

70 walnuts and 20 peanuts.

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Answer 2

Answer:

no. of peanuts = 70

no. of walnuts = 20

Step-by-step explanation:

let the no. of peanuts in the bag be "x" and the no. of walnuts in the bag be "y"

given :  for every 2 x there are 7 y

so, 2x=7y

2x/7 = y                               ..............equation 1  

x + y = 90

y = 90-x                                .............equation 2

2x/7 = 90 - x

2x/7 + x = 90

(2x +7x)/7 = 90

9x = 90*7

x = 630/9

x = 70

y = 20

no. of peanuts = 70

no. of walnuts = 20

CHECK

equation 1 =

2x = 7y

2*70 = 7*20

140 = 140

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