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 By: sundarshoba (offline)  Friday, January 09 2015 @ 10:25 PM CST (Read 1217 times)
sundarshoba

1. Anna and Ben take 9days to complete a jig saw puzzle. Ben and Collin take 3 days to complete a jig saw puzzle.When Collin partners Dennis they take 4 days to complete the jig saw puzzle. How many days will Anna and Dennis take to complete 2 jigsaw puzzles?

2.On teachers day a florist sold thrice as many roses as orchids and collected \$703 in total. She collected \$437 more for the roses than the orchids. Given that a stalk of rose cost \$1.50 more than a stalk of orchid, find the cost of a stalk of orchid

Thanks

Chatty

Registered: 12/31/06
Posts: 53

 By: echeewh (offline)  Saturday, January 10 2015 @ 10:31 PM CST
echeewh

Hey <sundarshoba>,

Following are my worked solutions:

Q1.

In 1 day,
(A + B ) = (1/9)puzzle -- (1)
(B + C) = (1/3)puzzle -- (2)
(C + D) = (1/4)puzzle -- (3)

(1)-(2):
(A - C) = (1/9) - (1/3) = -(2/9) -- (4)

(4)+(3):
(A + D) = - (2/9) + (1/4) = (1/36)puzzle

(A + D) will take 36 days to complete 1 jigsaw puzzle.

Hence, it will take (A + D) 72 days to complete 2 jigsaw puzzles.

=======

Q2.

Amt collected for orchids (o):
(703 - 437) ÷ 2 = 133
Amt collected for Roses (R):
133 + 437 = 570

3u (R) = 570
1u (R) = 570 ÷ 3 = 190

the same 1u (O) = 133

Difference in amt collected for the same 1u of flowers:
190 - 133 = 57

Given a stalk of rose (R) cost \$1.50 more than a stalk of orchid (O), we have ...
5700 ÷ 150 = 38

Hence, this 1u of flowers --> 38

Cost of 1 stalk of orchid (O):
133 ÷ 38 = \$3.50

=======

Trust the above helps.

Do let me know again if these are different from your Answerkey, or if there's further clarification.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

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