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Laura established a new flower garden, planting 4 tulip plan
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19 Aug 2018, 03:12
19 Aug 2018, 03:12
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Laura established a new flower garden, planting 4 tulip plants for every 1 rose plant, and no other plants. If she planted a total of 50 plants in the garden, how many of those plants were tulips?
Show: :: OA
40
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Re: Laura established a new flower garden, planting 4 tulip plan
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21 Aug 2018, 11:41
21 Aug 2018, 11:41
1
sandy wrote:
Laura established a new flower garden, planting 4 tulip plants for every 1 rose plant, and no other plants. If she planted a total of 50 plants in the garden, how many of those plants were tulips?
Show: :: OA
40
Let T = number of tulips planted
Let R = number of roses planted
Laura planted 4 tulips for every 1 rose
In other words, the ratio of tulips to roses = 4 to 1
Or we can write: T/R = 4/1
Cross multiply to get: T = 4R
Laura planted a total of 50 plants in the garden
In other words, T + R = 50
We now have 2 equations and 2 variables:
T = 4R
T + R = 50
When we solve the system (which I'll leave for you to do), we get: R = 10 and T = 40
Answer: 40
Cheers,
Brent
Re: Laura established a new flower garden, planting 4 tulip plan
[#permalink]
06 Aug 2019, 09:40
06 Aug 2019, 09:40
1
To me, it seems they are testing if you know part to part vs part to whole ratios (https://www.mathsisfun.com/numbers/ratio.html)
They only give us a part to part ratio, but it is up to us to find the part to whole ratio and use that to make a conversion.
For example, if there are 4 tulip plants per 1 rose plant (part to part), then there are 4 tulip plants to 5 plants (part to whole)
We multiply the given number of 50 plants by the ratio of 4 tulip plants to 5 plants to get 40 tulips.
You can see in the attached image that plants units will cancel out leaving only tulips.
They only give us a part to part ratio, but it is up to us to find the part to whole ratio and use that to make a conversion.
For example, if there are 4 tulip plants per 1 rose plant (part to part), then there are 4 tulip plants to 5 plants (part to whole)
We multiply the given number of 50 plants by the ratio of 4 tulip plants to 5 plants to get 40 tulips.
You can see in the attached image that plants units will cancel out leaving only tulips.
Attachments
daum_equation_1565113150759_tulip.png [ 9.44 KiB | Viewed 9101 times ]
