A toy store has 4 fewer teddy bears than 3 times the number of dolls “𝑑”. The next store has 2 more than twice the number of teddy bears. If there are 6 dolls, how many teddy bears does the second store have?

Answer: 30

Step-by-step solution

Step 1: Express teddy bears in the first store

The first toy store has 4 fewer teddy bears than 3 times the number of dolls dd. We translate this statement into an algebraic expression: multiply the number of dolls dd by 3 and then subtract 4.

Step 2: Calculate teddy bears in the first store for d=6d = 6

We are given that the number of dolls is d=6d = 6. Substituting 66 in place of dd, we calculate 3×6=183 \times 6 = 18, and subtracting 4 gives 1414 teddy bears in the first store.

Step 3: Calculate teddy bears in the second store

The second store has 2 more than twice the number of teddy bears in the first store (T1T_1). Twice 14 is 2×14=282 \times 14 = 28, and adding 2 gives 3030 teddy bears.

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