A fictional paper set contains 56 whole cards in the exact ratio 3 dots: 4 dashes. Dash cards are already provided without cost. Only dot cards must be bought. A sells whole packs of 5 dot cards for $1.50; B sells whole packs of 8 for $2.32. Every card is usable, packs cannot split, there are no initial fees, and the budget is $7.20. Spare cards may be kept.
Your task
Find dot and dash counts and the dot fraction of the whole. Calculate $/dot card, cheapest sufficient whole-pack order, total cost and spares for both suppliers. Recommend a sufficient order within the budget, or explain why neither works. State one assumption.