Final answer:
To find the new ratio of large cans of soup to small cans of soup, calculate the number of small cans remaining after the customer buys two large cans. Use the given ratio and total number of cans to set up an equation and solve for the variable. Round down to the nearest whole number and determine the new ratio.
Step-by-step explanation:
To find the new ratio of large cans of soup to small cans of soup, we need to calculate the number of small cans of soup remaining after the customer buys two large cans of soup.
Given that the ratio of large cans to small cans is 12:7 and there are 114 total cans, we can set up the following equation:
12x + 7x = 114 - 2
19x = 112
x ≈ 5.89
Since we can't have a fraction of a can, we round down to 5. This means that there are 5 large cans and 2 small cans remaining. Therefore, the new ratio of large cans to small cans is 5:2.