Question

Alice and Bob share an allotment. The ratio of the area of Alice's

Answer 1

Answer:

11:39

Step-by-step explanation:

Bob's portion of the allotment :

$Total\:ratio=3+2 =5\\\\= \frac{2}{5}$

Alice's portion :

$Total\:ratio=3+2 =5\\\\= \frac{3}{5}$

Vegetables are :

$Total\:ratio=7+3 =10\\\\= \frac{7}{10}$ of the total area

Vegetables are :

$Total\:ratio=4+1 =5\\\\= \frac{4}{5}$ of Alice's portion, or:

$\frac{4}{5} \times(\frac{3}{5} ) = \frac{12}{25}$

Bob's portion fraction (b):

$\frac{12}{25} + b = \frac{7}{10}$

L.C.M of 25 and 10 =50

$\frac{24}{50} + b = \frac{35}{50} \\\\b =\frac{11}{50}\\\\ Ratio:\\50 - 11 = 39$

Bob's vegetable to fruit ratio is 11 : 39