A fictional paper set contains 63 whole tokens in the exact ratio 4 rings: 5 bars. The bars are already provided without cost. Only rings must be bought. A sells whole packs of 7 rings for $2.80; B sells whole packs of 4 rings for $1.40. Every ring is usable, packs cannot split, there are no initial fees, and the budget is $10. Spare rings may be kept.
Your task
Find ring and bar counts and the ring fraction of the whole. Calculate $/ring, cheapest sufficient whole-pack order, total cost and spares for both suppliers. Recommend an order that meets the budget, or explain why neither works. State one assumption.