A cash box contains $74 made up of quarters, half-dollars, and one-dollar coins. How many coins of each type does the box contain if the number of
half-dollar coins is one more than three-fifths of the number of one-dollar
coins and the number of quarters is four times the number of one-dollar
and half-dollar coins together?

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

Then, substitute q in the first equation with the expression from the third equation:

Next, substitute h in that equation with the expression from the second equation:

Solve for d, the number of one-dollar coins:

Substitute 25 for d in the second equation to find h, the number of half-dollar coins:

Substitute 25 for d and 16 for h in the third equation to find q, the number of quarters:

Then, verify that the coins total $74:

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart