Alice's grandfather is showing Alice his apple
orchard. He tells Alice that when they planted
the orchard many years before that for every 11
rows of Red Delicious, they planted 7 rows of
Yellow Delicious, 5 rows of Braeburn and 3
rows of Royal Gala. If there are 18 rows of
Royal Gala in the orchard, how many rows of
trees are there altogether?

Respuesta :

There are  156 rows of trees altogether.

Step-by-step explanation:

Given that for every 11 rows of Red delicious , they plant 3 rows of Royal Gala.

Thus for 1 row of Royal Gala there would be 11/3 rows of Red delicious.

Number of rows of Royal Gala=18

[tex]corresponding\ number\ of\ Red\ delicious\ = 11/3 \times 18=11\times 6=66[/tex]

For 11 rows of red delicious,they plant 7 rows of yellow delicious.

Thus for 1 row of Red delicious,there would be 7/11 rows of yellow delicious.

For 66 rows of red delicious there would be

[tex]7/11\times66=7\times 6=42 rows\ of\ yellow\ delicious[/tex]

For 11 rows of red delicious,they plant 5 rows of Braeburn

for 1 row of red delicious,they would plant 5/11 rows of Braeburn.

For 11 rows of red delicious,they would plant

[tex]5/11\times 66=5\times 6=30\ rows\ of\ braeburn[/tex]

Total rows of trees=66+42+30+18=156