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The cost of a tray was 3 times the cost of a cup. Patricia used 7/9 of her

money to buy 5 trays and 20 cups. She then used 9/10 of her remaining

money to buy some more trays. How many more trays did she buy?

 Dec 15, 2021
 #1
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5 trays + 20 cups = (5 + 20/3) trays

                             = 35/3 trays

35/3 trays ---> 7/9 of her money

1 tray ---> 1/15 of her money

9/10 of her remaining money (2/9) = 9/10 * 2/9

                                                       = 1/5 of her money

1/5 / 1/15 = 3

She bought 3 more trays with her remaining money.

 Dec 15, 2021
 #2
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Where X = cups and B = trays, it follows that: B=3X Since D is Patricia's total amount of money, it follows that: 7/9D= 5B + 20X = 15X + 20X = 35X D-7/9D = 2/9D (cash rest) 2/9 × 9/10 = 1/5 (9/10 of the restate money, used to buy more trays) If, with 7/9 the money, she bought 35 cups, with 1/5 the money, she will buy: 7/9 -- 35 X = 7×7/9 1/5--- - X

X = 49/9 cups As each tray is equivalent to 3 cups, she will buy with this amount: 1/3 × 49/9 = 49/27 trays As a tray cannot be a quantity with decimal places, it is assumed that she will be able to buy only one tray.

 Dec 20, 2021
 #3
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Hi Guest, 

I do not know how good your explanation is, I have not looked through it.

BUT

The words and sentences, being all clumped together like that, are very uninviting.

Your answers are more likely to be used and/or appreciated if they are more visually friendly.

Melody  Dec 20, 2021

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