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How many tricycles and bicycles are there? I know the answer by guess and check and was wondering if anyone could show the algebraic equation to figure this out. Thanks!

2006-10-28 14:20:22 · 6 answers · asked by Janet B 1 in Science & Mathematics Mathematics

6 answers

b + t = 15
2b + 3t = 35

By substitution, b = 15 - t
2(15 - t) + 3t = 35
30 - 2t + 3t = 35
30 + t = 35
t = 5
b = 15 - 5, so b = 10

2006-10-28 14:25:17 · answer #1 · answered by dmb 5 · 1 0

The algebra is trivial: B+T = 15; 2B + 3T = 35. So is the solution of these equations.

2006-10-28 21:24:58 · answer #2 · answered by Anonymous · 0 0

10 tricycles and 5 unicycles

2006-10-29 00:41:22 · answer #3 · answered by CHEROKEEMAN2 2 · 0 0

b is # of bikes, t is # of trikes

b + t = 15 {total # of vehicles}

Also

2b + 3t = 35 {total # of wheels}

Solve this system of two equations in two unknowns.

2006-10-28 21:26:41 · answer #4 · answered by kindricko 7 · 0 0

x+y=15
2x+3y=35

where x is the number of bicycles and y is the number of tricycles

x=15-y
2(15-y)+3y=35
30-2y+3y=35
y=5
x=10

2006-10-28 21:33:33 · answer #5 · answered by Kevin S 1 · 0 0

5tricycles=15wheels
10bicycles=20wheels
20+15=35wheels

2006-10-29 07:15:24 · answer #6 · answered by meatheadd 1 · 0 0

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