GAUSS7 2022 Problem 18

Box A contains one 100 \mathrm{~g} block, one 20 \mathrm{~g} block and three 5 \mathrm{~g} blocks. Box B contains one 50 \mathrm{~g} block and three 10 \mathrm{~g} blocks. Jasmine moves some of the blocks from Box A to Box B and some of the blocks from Box B to Box A. After these moves, Box A contains 65 \mathrm{~g} less than it originally did and Box B contains 65 \mathrm{~g} more. What is the fewest number of blocks that Jasmine could have moved from Box A to Box B?

Answer Choices
A. 3
B. 4
C. 2
D. 5
E. 1