, 2016

Since 5 baskets of raisins fill 2 tubs, then $5\times6=30$ baskets of raisins fill $2\times6=12$ tubs.
Therefore, 12 tubs of raisins fill 30 baskets.
Since 5 scoops of raisins fill 1 jar, then $5\times6=30$ scoops of raisins fill $1\times6=6$ jars.

Since 3 scoops of raisins fill 1 cup, then $3\times10=30$ scoops of raisins fill $1\times10=10$ cups.
Since 30 scoops fill 6 jars, and 30 scoops fill 10 cups, then 10 cups of raisins fill 6 jars.
Solution 1

From part (b), we know that 10 cups of raisins fill 6 jars.

Thus, $10\times5=50$ cups of raisins fill $6\times5=30$ jars.

Since 30 jars of raisins fill 1 tub, then 50 cups of raisins fill 1 tub, or $50\times2=100$ cups of raisins fill $1\times2=2$ tubs.

Since 2 tubs of raisins fill 5 baskets, then 100 cups of raisins fill 5 baskets.

This tells us that $100\div5=20$ cups of raisins fill $5\div5=1$ basket.

Solution 2

Since 5 baskets fill 2 tubs, then $\frac{2}{5}$ tubs fill 1 basket.

Since 30 jars of raisins fill 1 tub, then $\frac{2}{5} \times 30 = 12$ jars of raisins fill $\frac{2}{5}$ tubs and so fill 1 basket.

Since 5 scoops of raisins fill 1 jar, then $12 \times 5 = 60$ scoops of raisins fill 12 jars and so fill 1 basket.

Since 3 scoops of raisins fill 1 cup, then $20 \times 1 = 20$ cups fill $20 \times 3 = 60$ scoops and so fill 1 basket.

Therefore, 20 cups of raisins fill 1 basket.