Question

a snack mix is made of mixed nuts and raisins.
complete the table below to show the amounts of each ingredient and the total amount of snack mix (in cups). the ratio between mixed nuts and raisins should remain the same for different amounts of snack mix.

amount of mixed nuts (cups)	5		20
total amount of snack mix (cups)		21

Explanation:

Step1: Find total for first row

$5 + 2 = 7$

Step2: Determine the ratio

Ratio of nuts to raisins: $\frac{5}{2} = 2.5$

Step3: Find nuts for total 21

Let nuts = $n$, raisins = $\frac{n}{2.5}$. $n + \frac{n}{2.5} = 21$
$2.5n + n = 52.5$
$3.5n = 52.5$
$n = 15$

Step4: Find raisins for total 21

$\frac{15}{2.5} = 6$

Step5: Find raisins for 20 nuts

$\frac{20}{2.5} = 8$

Step6: Find total for 20 nuts

$20 + 8 = 28$

Answer:

Amount of mixed nuts (cups)	Amount of raisins (cups)	Total amount of snack mix (cups)
15	6	21
20	8	28