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The ratio of apple trees to lemon trees in an orchard is 7 to 6 If there are 91 apple trees, how many lemon trees are there?

Sagot :

Answer:

78

Step-by-step explanation:

ratio of apple to lemon is 7:6

91 apple trees

91 is apple trees total number and 7 is the ratio of apple, so,

91/7=13

and again the ratio is 7:6

add variables 7x:6x

substitute 13 for variable

7(13):6(13)

compute

7(13):6(13)

91:78

Remember? Based on the problem given, 91 is the total number of apple trees and now 78 is the total number of lemon trees.

• Problem:

The ratio of apple trees to lemon trees in an orchard is 7 to 6 If there are 91 apple trees, how many lemon trees are there?

• Solution:

We need to apply what we've learned about ratio and proportion. First is to write the given ratio in fraction form. Then try the cross multiplication to get the value of the unknown number.

[tex] \large\tt \frac{7}{6} = \frac{91}{x} \\ \large\tt7x = 91(6) \\ \large \tt7x = 546 \\ \large \tt x = 546 \div 7 \\ \large\tt x = 78[/tex]

Thus, the answer is 78.

You can also try solve for the value of the unknown when you write the given ratios in colon form. With that form, you need to equate the product of the extremes to the product of the means. You'll arrive on the same answer.

• Answer:

There are 78 lemon trees.