a snack is made from nuts and granola. in a 28 oz container, there is 1 more ounce of granola than twice the ounces of nuts. how many ounces of each are in the snack?
number ounces granola = g
number ounces nuts = n
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g + n = 28
g = 2n + 1
solve for g and n.
n=6.75
sorry ..6.75 is wrong
n=9
g=19
sorry ..6.75 is wrong
n=9
g=19
To solve this problem, we're given two equations:
1) g + n = 28, where g represents the number of ounces of granola and n represents the number ounces of nuts. This equation states that the total number of ounces of granola and nuts combined is 28.
2) g = 2n + 1, where g represents the number of ounces of granola and n represents the number ounces of nuts. This equation states that the number of ounces of granola is 1 more than twice the number of ounces of nuts.
To find the solution, let's substitute the value of g from the second equation into the first equation:
2n + 1 + n = 28
Combining like terms, we get:
3n + 1 = 28
Next, let’s isolate the variable:
3n = 28 - 1
3n = 27
Divide both sides by 3 to solve for n:
n = 27 ÷ 3
n = 9
Now, we can substitute the value of n into the second equation to find the value of g:
g = 2n + 1
g = 2(9) + 1
g = 18 + 1
g = 19
Therefore, there are 9 ounces of nuts and 19 ounces of granola in the snack.