A box of cashews, peanuts, and almonds contains 144 nuts. For every 2 cashews, there are 3 peanuts and 7 almonds. How many more peanuts are there than cashews?
2 answers:
4x + 3x + 5x= 156
12x= 156
x= 13
4x = 4 times 13= 52 Cashews
3x= 3 times 13= 39 Peanuts
52-32= 13
To solve this problem, first we need to find the number of peanuts, cashews, and almonds in the bag... Total nuts=144 The ratio of cashews to peanuts to almonds can be shown as: cashews:peanuts:almonds 2:3:7 Now lets add up the numbers in the ratio. 2+3+7=12 So, for every 12 nuts in the bag, 2 are cashews. For every 12 nuts in the bag, 3 are peanuts. For every 12 nuts in the bag, 7 are almonds. Now lets divide the total number of nuts (144) by the sum of the ratio (12). 144/12=12 Now we can solve for the number of every type of nut in the bag... Cashews=12*2=24nuts Peanuts=12*3=36nuts Almonds=12*7=84nuts Now we can answer the problem: Peanuts-cashews= 36-24=12 nuts Answer: There are 12 more peanuts than cashews.
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