Home / Assignment Help / Marcus earns money from feeding cats and answering emails. He earns $7 a week for each cat he feeds and $0.20 for each email he answers. Marcus answered 140 emails and earned $49 last week. Part A: Create an equation that will determine the number of cats he fed. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many cats did Marcus feed last week? (1 point)

Marcus earns money from feeding cats and answering emails. He earns $7 a week for each cat he feeds and $0.20 for each email he answers. Marcus answered 140 emails and earned $49 last week. Part A: Create an equation that will determine the number of cats he fed. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many cats did Marcus feed last week? (1 point)

127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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