Comparison Problems, Math

Question

Last month Pam trained 6 times as many dogs as Monkeys for the circus. If the total number of dogs and monkeys trained last month is 35, how many more dogs than monkeys did Pam train?

Answer 1

Systems of equations question. They give you information for 2 equations (A and B).

6 times as many dogs as monkeys

A) 6 × d = m

total number of dogs and monkeys is 35

B) d + m = 35

now you replace the m in the second equation with 6d because the first equation was 6d=m

d + 6d =35

(combine like terms)

7d = 35

d is × by 7 so to solve for d we need to do the opposite so ÷ by 7 on both sides

d=5

you can plug d=5 into the either equation (A or B) to solve for m

6 × 5 = 30

Now we need to subtract to see how many more dogs than monkeys

30-5=25 more dogs than monkeys