Henry Ernest Dudeney/Puzzles and Curious Problems/295 - Blending the Teas

Puzzles and Curious Problems by Henry Ernest Dudeney: $295$

Blending the Teas

A grocer buys two kinds of tea --

one at $2 \shillings 8 \oldpence$ per pound,

and the other, a better quality, at $3 \shillings 4 \oldpence$ per pound.

He mixes together some of each, which he proposes to sell at $3 \shillings 7 \oldpence$ a pound,

and so make a profit of $25$ per cent on the cost.

How many pounds of each kind must he use to make a mixture of $100$ pounds weight?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Magic Square, Measuring, Weighing, and Packing Problems: $295$. -- Blending the Teas
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $249$. Blending the Teas