Answer:
The cost of
A small bucket = x = $8
A Larger bucket = y = $13
Step-by-step explanation:
Let the cost of
A small bucket = x
A Larger bucket = y
Kim sold 3 small buckets and 14 large buckets of popcorn for a total of $206.
3x + 14y = 206... Equation 1
Melody sold 11 small buckets and 11 large buckets of popcorn for a total of $231.
11x + 11y = 231.... Equation 2
What is the cost for a small bucket and a large bucket of popcorn?
3x + 14y = 206... Equation 1
11x + 11y = 231 ....... Equation 2
We solve using Elimination method
Multiply Equation 1 by 11 and Equation 2 by 3 to Eliminate x
33x + 154y = 2266.... Equation 3
33x + 33y = 693....... Equation 4
We subtract Equation 4 from Equation 3
121y = 1573
y = 1573/121
y = $13
Solving for x
3x + 14y = 206... Equation 1
3x + 14 × 13 = 206
3x + 182 = 206
3x = 206 - 182
3x = 24
x = 24/3
x = $8
Hence, the cost of
A small bucket = x = $8
A Larger bucket = y = $13
