Ashley, Samantha, Samuel, Kaylee, and Matthew are each making large bouquets for their parents. Each of their arrangements combines tulips and roses. They paid ninety-three cents for eah tulip and 2.38 for each rose.
Figure out how many roses are in each of their arrangements.
1. Kaylee wanted her arrangement to be 80.6% roses. She used 7 tulips in her arrangement.
2. Matthew bought five mor etulips and two more roses then Samuel. Together, the two of them spent a total of $56.79 on their boquets.
3. Samantha's bouquets consisted f thirteen flowers. Samantha spent $22.24 to make the bouquet.
4. Ashley wanted her arrangement to contain 80% tulips.
5. Ashley spent $6.10 on her arrangement.
10 points for an answer! thanks
Math Story Problem?
kaylee - 7 tulips and 29 roses
matthew - 15 tulips and 18 roses
samuel - 10 tulips 16 roses
samantha - 6 tulips 7 rose
ashley - 4 tulips 1 rose
Reply:# 1: Kaylee wanted her arrangement to be 80.6% roses.
It means that the tulip is only 19.4%.
The number of tulips is 7
19.4% of what number is 7
19.4% times x = 7
0.194x = 7
x = 7/.194
x = 36.08
x = 36 ====%26gt; total number of flowers in the bouquet
36 - 7 tulips = 29 roses
# 2 : Pass
# 3 : Samantha's bouquet consists of 13 flowers o which she spent $ 22.24
0.93T = the amount she spent on tulips
2.38R = the amount she spent on roses
0.93T + 2.38R = 22.24
Since the total flowers is 13, we can say that
13 - T = the number of roses or
13 - R = the number of tulips.
Let us subsitute the first one ( 13-R) to find the number of roses
0.93(13-R) + 2.38R = 22.24
12.09 - 0.93R + 2.38R = 22.24
1.45R = 22.24 - 12.09
1.45R = 10.15
R = 10.15/ 1.45
R = 7 ====%26gt; number of roses
13 - 7 = 6 ===%26gt; number of tulips
To check:
0.93 (6) + 2.38 (7) = 22.24
5.58 + 16.66 = 22.24
22.24 = 22.24
# 4 : This alone does not makes sense if you want a real number. Anyway the number of roses is 20% since the number of tulips is 80%
#5 : I answered it by trial and error
If there is only 1 roses,
6.10 - 2.38 = 3.72 / .93 = 4
If there are 2 roses,
6.10 - 2.38 -2.38 = 1.34/.93 = 1.441 not a whole number
If there 3 roses,
6.10 - 2.38 - 2.38 - 2.38 = - 1.040 cannot be
So the logical answer is the first one
R = 1 , T = 4
To check:
0.93(4) + 2.38 (1) = 6.10
3.72 + 2.38 = 6.10
6.10 = 6.10
If i have more time i will answer # 2
riding boots
Monday, February 13, 2012
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