Word problem involving U

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School

Bellevue College *

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107

Subject

Business

Date

May 13, 2024

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pdf

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2

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1/18/24, 8:39 AM ALEKS https://www-awa.aleks.com/alekscgi/x/Isl.exe/1u_LNaX3RakiOQYcKMFjCbH26XRkPaBi-IM_TKfKyAsgZ-eoQ4NeUdj1ch6SuFNjkTAwQornzntFFV1-T… 1/2 Student Name : Denise Widell Date: 01/18/2024 8:39 AM Login Name : DWIDELL7 Class Name : Pre-Statistics Ratios and Percentages Word problem involving U.S. Customary length conversions using dimensional analysis SAMPLE QUESTION A construction worker is building a wall. The wall is long. He needs to place a stud every . The first stud has already been placed at one end of the wall. How many additional studs are needed, if the last stud will be placed at the other end of the wall? First fill in the blanks on the left side of the equation using three of the ratios shown. Then write your answer on the right side of the equation. Ratios: _________ _________ _________ _________ studs EXPLANATION We need to find the number of studs. We know the wall is long and each stud will be apart. So, we need to convert to inches. First we eliminate the unit of yards by multiplying by the ratio . Notice that the unit of yards cancels. Next we eliminate the unit of feet by multiplying by the ratio . Each stud will be apart. 18 yd 24 in 3 ft 1 yd 1 yd 3 ft 1 ft 12 in 12 in 1 ft 24 in 1 stud 1 stud 24 in 18 yd 1 × × × = 18 yd 24 in 18 yd 3 ft 1 yd × 18 yd 1 3 ft 1 yd 12 in 1 ft × 18 yd 1 × 3 ft 1 yd 12 in 1 ft 24 in
1/18/24, 8:39 AM ALEKS https://www-awa.aleks.com/alekscgi/x/Isl.exe/1u_LNaX3RakiOQYcKMFjCbH26XRkPaBi-IM_TKfKyAsgZ-eoQ4NeUdj1ch6SuFNjkTAwQornzntFFV1-T… 2/2 So, to eliminate the unit of inches , we multiply by . We can now do the calculation. ANSWER 1 stud 24 in × 18 yd 1 × 3 ft 1 yd × 12 in 1 ft 1 stud 24 in = × 18 yd 1 × 3 ft 1 yd × 12 in 1 ft 1 stud 24 in = 18 3 12 24 studs 27 studs 18 yd 1 × 3 ft 1 yd × 12 in 1 ft × 1 stud 24 in = 27 studs
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