mary plants roses in 1/4 of her garden. she also plants some tulips in her garden. she has 1/12 of her garden left to plant more flowers. what fraction of mary's garden has tulips
2/12
If 1/12 of her garden is left to plant "more" flowers, then
11/12 must have been used for the roses and the tulips
1/4 + x = 11/12
times 12
3 + 12x = 11
12x = 8
x = 8/12 = 2/3 <----- fraction of garden for tulips
check:
1/4 garden + 2/3 garden
= 11/12 garden
thank you
To solve this problem, we need to find the fraction of Mary's garden that is planted with tulips.
First, we know that Mary has planted roses in 1/4 of her garden. This means that 3/4 of her garden is still available for planting other flowers.
We also know that Mary has 1/12 of her garden left to plant more flowers. This means that 11/12 of her garden is already planted.
To find the fraction of Mary's garden that has tulips, we need to subtract the fraction of her garden that is planted with roses (1/4) from the fraction of her garden that is already planted (11/12).
11/12 - 1/4 = 33/36 - 9/36 = 24/36.
Therefore, 24/36 of Mary's garden has tulips.