Question

Pumpkins at the pumpkin patch cost $3 for a small or $5 per large. On Saturday, they collected $105 and a total of 29 pumpkins sold. Create the two equations that would represent this system and type them in below: *

Answer 1

Let, number of small and big pumpkin are x and y.

So, mathematical equation is given by :

x + y = 29    ...1)

3x + 5y = 105     ...2)

Putting value of x from equation 1 to equation 2, we get :

$3(29-y ) +5y=105\\\\2y = 18\\\\y = 9$

So, x = 20

Therefore, number of small and large pumpkins are 20 and 9 respectively.

Hence, this is the required solution.