A tailoring shop needs to make 380 uniforms before the school year starts. They made 25 uniforms on the 1st day, 28 on the 2nd day, and 31 on the 3rd. If this patterncontinues for 10 days, will they be able to finish their work? Explain your answer.*3 pointsYour answer
Question
A tailoring shop needs to make 380 uniforms before the school year starts. They made 25 uniforms on the 1st day, 28 on the 2nd day, and 31 on the 3rd. If this patterncontinues for 10 days, will they be able to finish their work? Explain your answer.*3 pointsYour answer
Solution
The pattern here is that the tailoring shop is increasing the number of uniforms made by 3 each day.
On the 1st day, they made 25 uniforms. On the 2nd day, they made 28 uniforms. On the 3rd day, they made 31 uniforms.
So, the sequence is 25, 28, 31, 34, 37, 40, 43, 46, 49, 52.
To find out the total number of uniforms made in 10 days, we add up all these numbers.
25 + 28 + 31 + 34 + 37 + 40 + 43 + 46 + 49 + 52 = 385
So, yes, they will be able to finish their work in 10 days because they will have made 385 uniforms, which is more than the 380 uniforms they need to make.
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