exam Maths Puzzle Numerical Ability

Word Problem: The supply and demand for a product are given by 2p - q = 50 and pq = 100 + 20q. Find the market equilibrium point. Please help. Thank you.

Betty Knight

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Please help solve for x
log(little 2)64 = x Keil is going to make 13 pounds of mixed nuts for a party. Peanuts cost $3.50 per pound and fancy nuts cost $7.50 per pound. If Keil can spend $85.50 on nuts, how many pounds of each should he buy?