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Question
- micah’s salary per day is $35. this month, the store is offering a special bonus for its employees. on top of their salary, they can make an additional $0.10 for every candy bar that they sell at the register. he calculates that he needs to sell 10 candy bars in order to make $36 that day using the following math: 36 - 35 = 1 1 ÷ 0.1 = 10 10 candy bars write another equation using algebra that can show how micah can calculate how many candy bars he needs to sell.
Step1: Define variables
Let $x$ = number of candy bars sold, $T$ = total daily earnings.
Step2: Set up total earnings equation
Total earnings equal base salary plus bonus per candy bar times number of candy bars sold:
$$T = 35 + 0.10x$$
Step3: Substitute target total earnings
We know $T = 36$, so substitute this value:
$$36 = 35 + 0.10x$$
Step4: Rearrange to solve for $x$
Subtract 35 from both sides, then divide by 0.10:
$$36 - 35 = 0.10x$$
$$x = \frac{36 - 35}{0.10}$$
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$$36 = 35 + 0.10x$$
(where $x$ represents the number of candy bars Micah needs to sell)