Question

Abag of peanuts is 5 times as heavy as a bag of sunflower seeds. The bag of peanuts

also weights 920 grams more than the bag of sunflower seeds. What is the total weight
in grams for the bag of peanuts and the bag of sunflower seeds?

Answer 1

5s=p

s+920=p

5s=s+920

*subtract s from both sides*

4s=920

*divide 4 from both sides*

s=230

230*5=1150

The bag of sunflower seeds weighs 230 grams and the bag of peanuts weighs 1150 grams.

Answer 2

9514 1404 393

Answer:

1380 grams

Explanation:

The ratio of weights is ...

peanuts : sunflower seeds = 5 : 1

Then the difference in weights is ...

5 - 1 = 4 . . . . ratio units

The sum of weights is ...

5 + 1 = 6 . . . . ratio units

That is the sum of the weights related to the difference of weights is ...

sum : difference = 6 : 4 = 3 : 2

So, the total weight of the two bags is 3/2 times the difference in their weights:

total weight = (3/2)(920 grams) = 1380 grams