The t-shirts for the fundraiser will cost $4.00 to make and there is a $25.00 delivery fee. There are two sized wristbands; a large one that will cost $5.00 to make, and a small one that will cost $3.00 to make.
If everyone who orders wristbands orders one small and one large wristband, write two equivalent expressions to represent the cost the student council will have to make to have the wristbands made.
(5.00 + 3.00) x 350 and 8.00 x 350?
Yes, both (5.00 + 3.00) x 350 and 8.00 x 350 are equivalent expressions to represent the cost the student council will have to pay to have the wristbands made.
To understand why, let's break down each expression:
1) (5.00 + 3.00) x 350:
This expression calculates the cost of making one small wristband and one large wristband and then multiplies it by 350 to represent the total number of orders. The cost of making one small wristband is $3.00 and the cost of making one large wristband is $5.00. So, the sum of the two costs is $5.00 + $3.00 = $8.00. Multiplying $8.00 by 350 gives us the total cost for making 350 sets of wristbands.
2) 8.00 x 350:
This expression skips the step of calculating the individual costs of making one small and one large wristband, and directly multiplies the combined cost of $8.00 by the total number of orders, 350.
Both expressions yield the same result because they represent the same mathematics, just in different ways of expressing it.