Acertain four-cylinder combination lock has 55 numbers on it. to open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder and so on until a four-number lock combination has been affected. repetitions are allowed, and any of the 55 numbers can be used at each step to form the combination. (a) how many different lock combinations are there

In order to find the price per bar, we divide the price by the amount of bars.   for the first one: 15.37/10 = $1.54 per barthe second package: 15.35/12 = $1.28 per bar.the 10-pack costs $1.54 per bar and the 12-pack costs $1.28 per bar.   the 12-pack has the better price per bar.now, let's look at the price per ounce.   we do this in a similar way.   we find the total amount of ounces in the package, and divide the price by the number of ounces.in the first package, we multiply 10*2.1=21.   we have 21 ounces in the first package.   now we divide 15.37/21.   in the first package, we have 0.73 dollars per ounce.now, let's look at the second package.   we start by multiplying 1.4*12=16.8.   there are 16.8 ounces in the package.   now, we divide 15.35/16.8=0.91.   so, in the second package, we have 0.91 dollars per ounce.the cost per ounce of the 10-pack is $0.73 and the cost per ounce of the 12-pack is $0.91.   the first package has the better price per ounce.the better explanation is the second one, because i prefer the lower price per ounce, i think that the 1st pack is the better buy.