Question

One evening, the candy counter at the Cineplex sold 532 buckets

of popcorn for $1,489.50. A large bucket sells for $2.25 and a
jumbo bucket sells for $3.75. How many jumbo buckets of
popcorn were sold?

Please help!!

Answer 1

337 large buckets and 195 jumbo buckets were sold.

Explanation:

x = the number of large buckets sold
y = the number of jumbo buckets sold

x + y = 532
(2.25x + 3.75y = 1489.50) x100 = 225x + 375y =148950

(x + y = 532) x -225 = -225x - 225y = -119700
+ 225x + 375y =148950

150y = 29250
y = 195

x + 195 = 532
x = 337