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Question

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Wei Chong bought 15 identical stools and 7 identical desks for $153.

2 desks cost as much as 3 stools. Find the cost of a stool?

Answer

This is a Quantity Each Product question. 

2 desk = 3 stool

Stool = 2u

Desk = 3u

 

          Quantity    Each       Product   
Stool     15 2u 30u  
Desk 7 3u 21u  
Total     51u  

 51u  = 153

1u = 153 ÷ 51 = 3

3u = 3 × 3 = $9

 

2 Replies 0 Likes ✔Accepted Answer

Amendment

Stool is 2u

2u = 3 ×2 = $6

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:This is a Quantity Each Product question.
2 desk = 3 stool
Stool = 2u
Desk = 3u

Quantity
Each
Product

Stool
15
2u
30u

Desk
7
3u
21u

Total

51u

51u = 153
1u = 153 ÷ 51 = 3
3u = 3 × 3 = $9″

9 x 15 + (7/2) x 9 x 2 = 198 (not 153)

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15 stools + 7 desks –> 153

 3 stools  –> 2 desks

15 stools –> 10 desks

10 desks + 7 desks –> 153

1 desk –> 153 ÷ 17

            = 9

3 stools –> 2 × 9

               = 18

Cost of 1 stool = $18÷3

                             = $6 (ans)

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15 stools + 7 desks ——- 153
2 desks ——- 3 stools
7 desks ——- (3/2) x 7 = 10 1/2
10 1/2 + 15 = 25 1/2 stools ——- 153
1 stool ——- 6

Ans : $6.

6 x 15 + (7/2) x 6 x 3 = 153

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