Question

(1) A business shipped 108 packages one day. Customers are charged $3.50 for each standard-delivery package and $7.50 for each express-delivery package. Total shipping charges for the day were $506.00. How many of each kind of package were shipped?

Standard:

Express:

(2) A department store sold 41 shirts one day. All short-sleeved shirts cost $12.00 each and all long-sleeved shirts cost $17.00 each. Total receipts for the day were $582.00. How many of each kind of shirt were sold?

Short Sleeve:

Long Sleeve:

Answer 1

(1) Let x = standard shipments and y = express.

y = 108 - x

3.5x + 7.5y = 506

Substitute 108-x for y in second equation and solve for x. Insert that value into the first equation and solve for y. Check by inserting both values into the second equation.

(2) Use similar process to 1.