bryon found that one dozen eggs weighed the same as 5 apples. He also found that 2 eggs and 22grams weighed the same as 1 apple. Find the mass of an egg and an apple

Answer 1

Let's use a system of equations to solve for the mass of an egg and an apple.

Let e be the mass of one egg in grams and a be the mass of one apple in grams.

From the first piece of information, we know that:

12e = 5a

From the second piece of information, we know that:

2e + 22 = a

Now we can use substitution to solve for e or a.

Let's solve for a in terms of e from the second equation:

a = 2e + 22

Now we can substitute this expression for a into the first equation:

12e = 5(2e + 22)

Simplifying this equation we get:

12e = 10e + 110

2e = 110

e = 55

So the mass of one egg is 55 grams.

Now we can use this value to find the mass of one apple:

a = 2e + 22 = 2(55) + 22 = 132

So the mass of one apple is 132 grams.

Therefore, the mass of an egg is 55 grams and the mass of an apple is 132 grams.