A snack mix contains toasted oat cereal, pretzels, and nuts in a ratio of 2:2:1 by mass. What mass of each ingredient is needed to make the following amounts of snack mix? a)330g b)210g c)500g d)750g
bor like no
If cereal is 2/3, pretzels is 2/5, nuts are 1/5. Ok so you would add them up. 2/3 + 2/5 + 1/5 = well that is your answer. it will not be a answer if their is not a label.
To determine the mass of each ingredient needed to make the given amounts of snack mix, we first need to find the proportion of each ingredient in the mix. Since the ratio of the ingredients is 2:2:1, we can consider the total mass of the mix as 2 + 2 + 1 = 5 units.
a) For a mass of 330g, we can set up the following equation:
2 units / 5 units = x g / 330 g
Simplifying the equation, we get:
x = (2/5) * 330 = 132 g
Therefore, you would need 132g of toasted oat cereal, 132g of pretzels, and 66g of nuts to make 330g of snack mix.
b) For a mass of 210g, we can again set up the equation:
2 units / 5 units = x g / 210 g
Simplifying, we find:
x = (2/5) * 210 = 84 g
So, you would need 84g of each ingredient to make 210g of snack mix.
c) For a mass of 500g:
2 units / 5 units = x g / 500 g
Solving for x:
x = (2/5) * 500 = 200 g
Hence, you would need 200g of toasted oat cereal, 200g of pretzels, and 100g of nuts to make 500g of snack mix.
d) For a mass of 750g:
2 units / 5 units = x g / 750 g
Calculating x:
x = (2/5) * 750 = 300 g
Thus, you would need 300g of toasted oat cereal, 300g of pretzels, and 150g of nuts to make 750g of snack mix.
2/5 cereal , 2/5 pretzels , 1/5 nuts
Let amounts be 2x , 2x, and x g
I will do the last one, the others are done the same way
d) 2x + 2x + x = 750
5x = 750
x = 150
so we need 300 g of oat cereal, 300g of pretzels and 150 g of nuts.