Problema Solution

Paid $1,674.00 for 47 calculators. Scientific model cost $10.00 and graphing model cost $53.00. How many of each model were purchased?

Answer provided by our tutors

set up 2 equations

x+y = 47

10x + 53y = 1674

x = 47-y from first equation, substitute into second

10(47-y) + 53y = 1674

470 - 10y + 53y = 1674

470 + 43y = 1674

43y = 1204

y = 28

x = 47-y = 47-28 = 19

so there were 19 scientific calculators purchased and 28 graphing calculators purchased