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Hello everyone

Need help with these questions!

1)A coach bought some T-shirts and shorts for $256. 1/3 of them were T-shirts. The        total amount he spent on the T-shirts was $32 more than the total amount he spent on the shorts. A T-shirt cost $22 more than a pair of shorts. Find the cost of a T-shirt.

 

2)Diane baked some cupcakes to sell. 2/5 of them were chocolate cupcakes and the rest were banana cupcakes. After selling 180 chocolate cupcakes and 5/6 of the banana cupcakes,she had 1/5 of the original number of cupcakes left. How many cupcakes did she sell altogether?

Thank you!

Source: Assessment

Answer

2.

                      C  :  B           Total

At first          2  :  3               5

                  ×2|      |×2          

                      4  :   6             10

              -180|       |-5u

Then             1  :   1             2  (1/5 ×10)   

 

4u-1u =180

3u=180

1u=180÷3

     =60

Cupcakes sold = 180 + 5u

                           = 180 + 5×60

                           = 180 + 300

                           = 480 (ans)

 

0 Replies 2 Likes ✔Accepted Answer

This is a Before After question. 

LCM

3/5 = 6/10

     Before  Transfer    After 
 Chocolate  4u  -180  4u – 180
 Banana  6u  -5u 1u 
 Total 10u     5u – 180

10u  / 5  = (5u – 180) / 1  (amended)

2u = 5u – 180

180 = 5u – 2u

3u = 180

1u = 180 ÷ 3 = 60 (amended )

5u = 60 × 5 = 300

300 + 180 = 480 (amended )

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1.

T-shirts : 1u
shorts : 2u
256 – 32 = 224
224/2 = 112
112 + 32 = 144 (1 unit of T-shirts)
112/2 = 56 (1 unit of shorts)
144 – 56 = 88
88/22 = 4
144/4 = 36

Ans : $36.

 

2.

chocolate : banana : total
2 : 3 : 5
4 units : 6 units : 10 units
(4 units – 180) + [1 – (5/6)] x 6 units = 5 units – 180 ——- (1/5) x 10 units = 2 units
3 units = 180
1 unit = 60
180 + 5 x 60 = 480

Ans : 480 cupcakes.

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This is a Quantity Each Product question. 

       Quantity   Each      Product    
T Shirt   1u   144
Shorts 2u   112
Total  3u   256

256 – 32 = 224

224 ÷ 2 = 112  

112 + 32 = 144

144 / 1u – 112/ 2u  = 22

(288 – 112)  / 2u = 22

176 = 44u

1u = 176 ÷ 44 = 4

144 ÷ 4 = $36

 

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1.

By unit            By value

TS-> 1u            TS-> 112+32=144

S  -> 2u            S -> (256-32)/2

                           = 112

 

1 unit of  equal no. of TS -> 144

1 unit of equal no. of S ->112÷2

                                         = 56

Gap = 144-56

        = 88

Diff = 22

? No of TS = 88÷22

                   = 4

Cost of 1 TS = $144÷4

                      = $36(ans)

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