Question

One sesame cracker has a mass of 3.25 grams, which is 18 grams less than

the mass of 1 slice of cheese. Write an equation that represents the relationship
between the masses of 1 cracker and 1 slice of cheese in terms of the mass of a
package of 16 slices of cheese, m.
A. What expression represents the mass of 1 slice of cheese?
B. What expression represents the difference in the masses of 1 slice of
cheese and 1 cracker?
C. What equation represents the relationship between the masses of
1 cracker and 1 slice of cheese?

Answer 1

Explanation:

A. Let x be the mass of 1 slice of cheese.

B. The difference in the masses of 1 slice of cheese and 1 cracker is:

x - 3.25 grams

C. Since one package contains 16 slices of cheese, the total mass of the package is:

16x

According to the problem, the mass of one cracker is 18 grams less than the mass of one slice of cheese. Therefore, we can write:

x - 18 = 3.25 + m/16

where m is the mass of the package of 16 slices of cheese.

Simplifying the equation:

x = 3.25 + m/16 + 18

x = m/16 + 21.25

This equation represents the relationship between the masses of 1 cracker and 1 slice of cheese in terms of the mass of a package of 16 slices of cheese.