Question

NO LINKS!!! URGENT HELP PLEASE!!!

BASEK Landscaping can mow 7 lawns to every 5 lawns that Diamonds Cuts Landscaping can mow. If total they mow 108 lawns, (A) how many lawns did BASEK mow? (B) How many lawns did Diamond Cuts mow? Show work!! (Hint: make a chart).

Answer 1

(A) 7 x 9 = 63

(B) 5 x 9 = 45

Explanation:

To answer these questions you have to use ratio. The ratio for our question is 5:7. To find out how many each landscaping can mow we have to divide the total of our ratio by the total of lawns mowed!

• 5 + 7 = 12
• 108 ÷ 12 = 9

This means that each mow has mowed a value of 9 times and to find out how many lawns this would be we have to multiply 9 by 5 and 7!

(A) 7 x 9 = 63

(B) 5 x 9 = 45

To check our answer we can add them up to see if they total to 108

• 63 + 45 = 108

Hope this helps, have a lovely day! :)

Answer 2

(A) BASEK Landscaping mowed 63 lawns.

(B) Diamonds Cuts Landscaping mowed 45 lawns.

Explanation:

The ratio of the number of lawns BASEK Landscaping can mow to the number of lawns Diamonds Cuts Landscaping can mow is 7 : 5.

Let "x" be the scale factor. Therefore, the ratio is 7x : 5x.

If the total number of lawns both companies mowed is 108, then:

`7x + 5x = 108`

Solve for x to find the scale factor:

`7x + 5x = 108`

`12x = 108`

`12x / 12 = 108 / 12`

`x = 9`

To calculate the number of lawns that BASEK mowed, substitute the found value of x into 7x:

`7x = 7(9) = 63`

To calculate the number of lawns that Diamond Cuts mowed, substitute the found value of x into 5x:

`5x = 5(9) = 45`

In conclusion:

• BASEK Landscaping mowed 63 lawns.
• Diamonds Cuts Landscaping mowed 45 lawns.