MATH SOLVE

5 months ago

Q:
# In a different dimension, cows have $x+3$ legs, with 3 toes on each leg. Chickens have $2x-4$ legs, with 7 toes on each leg. If your farm only has two cows and one chicken, what is the expression for how many animal toes there are in total (not including yours)? Give your answer in simplest form.

Accepted Solution

A:

Answer:20x-10Step-by-step explanation:Cows have [tex]x+3[/tex] legs and 3 toes on each leg, if we want to find the number of toes of ONE cow we have to multiply the legs by the toes giving the following:[tex]3(x+3) \quad (1)[/tex]But we have two cows so (1) we have to multiply it by 2 giving a total of:[tex]2(3(x+3))\\6(x+3)\\6x+18 \quad (2)[/tex]By the other hand chickens have [tex]2x-4[/tex] legs and 7 toes on each leg, if we want to find the number of toes we have to multiply the legs by the toes giving the following:[tex]7(2x-4)\\14x-28 \quad (3)[/tex]To find the total amount of toes we have to add (2) and (3)[tex](6x+18)+(14x-28)\\20x-10[/tex]