Question 944073
"There is a total of 14 bicycles and tricycles in the store.
 The total number of wheels in the store is 34."
 How many bicycles are in the store?
:
let b = no. of bikes
let t = no. trikes
:
Write an equation for each statement
"There is a total of 14 bicycles and tricycles in the store."
b + t = 14
t = (14-b), use this form for substitution
"The total number of wheels in the store is 34."
2b + 3t = 34
replace t with (14-b)
2b + 3(14-b) = 34
2b + 42 - 3b = 34
2b - 3b = 34 - 42
-b = -8
b = 8 bikes
:
:
Check this, find the no. of trikes
14 - 8 = 6 trikes
Check in the 2nd equation
2(8) + 3(6) = 34
16 + 18 = 34