The total cost is $500 and this is distributed between 5 toasters and 3 blenders. Let's assign "t" for the price of a toaster and "b" for the price of a blender. 500=5t+3b we know that a blender costs $20 less than a toaster which is expressed by "b=t-20", so instead of "b" we can write "t-20" to represent the price of a blender 500=5t+3(t-20) 500=5t+3t-60 distribute the 3 500+60=5t+3t-60+60 add 60 to both sides 560=8t add like terms 560/8=8t/8 divide both sides by 8 70=t therefore a toaster costs $70 We can then substitute 70 into the "b=t-20" expression to find the price of a blender: b=70-20 b=50 therefore, a blender costs $50
