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 . We translate this statement into an algebraic expression: multiply the number of dolls by 3 and then subtract 4.
Step 2: Calculate teddy bears in the first store for
We are given that the number of dolls is . Substituting in place of , we calculate , and subtracting 4 gives 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 (). Twice 14 is , and adding 2 gives teddy bears.