A dried fruit snsck contains 480g of nuts the ratio of nuts to dried fruit is 30 to 31 how much does the snack weigh?
Maybe you do not get it because I made a mistake!!!! Sorry!
30 out of (30+31) is nuts .... or ... 30/61 is nuts
This problem as a ratio:
30/61 = 480/x where x = total weight
solve for x = 976 gm total weight
Maybe you do not get it because I made a mistake!!!! Sorry!
30 out of (30+31) is nuts .... or ... 30/61 is nuts
This problem as a ratio:
30/61 = 480/x where x = total weight
solve for x = 976 gm total weight
The ratio of nuts to total weight is 30 out of 61
Substituting in the numbers you are given (weight of nuts = 480)
the ratio of nuts to total weight is 480 to 'x'
30/61 = 480/x Multiply both sides by 'x'
30/61 * x = 480 Mutiply both sides by 61/30
x = 976
31/30 x 480 =496 gm - the weight of the fruit in the snack.
496 + 480 =976 grams - total weight of snack.
The ratio of nuts to dried fruit is 30: 31 and you know the snack contains 480g of nuts. Therefore you can create a proportion (an equation where 2 ratios are equivalent) as follows:
Nuts | Fruits |
30 | 31 |
480 | p |
And then solve for the unknown p (which is the amount of fruits in grams), like:
30 = 31
480 = p
cross multiplication results in: 30p = 31 x 480
which equates to: 30p = 14880
solving for p gives: 30p / 30= 14880/ 30 (that is divide both sides by the multiplier of p, to simply get p by itself)
which equates to: p= 496
Therefore, there are 496g of dried fruit in that snack.
To get the total weight of the bar simply add the 480g of nuts and the 496g of fruits
giving you a total weight of: 480+496= 976g