Jared and Francis shared $90 in the ratio 5:1. How much more money did Jared received than Francis?
The total ratio given is \(5 + 1 = 6\) parts.
Jared's share is 5 parts of the ratio, and Francis's share is 1 part of the ratio.
To find out how much each part is worth, we divide the total amount of money by the total number of parts:
\[\frac{\$90}{6 \text{ parts}} = \$15 \text{ per part}\]
Now that we know the value of each part, we can calculate how much money Jared and Francis each received:
Jared's share = \(5 \text{ parts} \times \$15 \text{ per part} = \$75\)
Francis's share = \(1 \text{ part} \times \$15 \text{ per part} = \$15\)
To find out how much more money Jared received than Francis, we subtract Francis's share from Jared's share:
Jared's share - Francis's share = \$75 - \$15 = \$60
So, Jared received $60 more than Francis.