thr ratio of two integers is 6:13 the smaller interger is 54. find the larger interger
the blueprint dimensions for a newly constructed house are proportional to the houses actual dimensions. on the blueprint the houses foundation measures 75cm in length by 40 cm in width. the house actual foundation measures 15 meters in length. what is the foundations actual width?
To find the larger integer in a given ratio, you can follow these steps:
Step 1: Identify the ratio given. In this case, the ratio is 6:13.
Step 2: Determine which integer corresponds to each part of the ratio. Here, the smaller integer corresponds to the first part, which is 6.
Step 3: Obtain the value of the smaller integer. It is given as 54.
Step 4: Set up a proportion to find the value of the larger integer. The proportion can be set up as follows:
6 / 13 = 54 / x
Step 5: Cross-multiply and solve the equation for x (the larger integer).
6x = 13 * 54
Step 6: Simplify and solve for x.
6x = 702
x = 702 / 6
x = 117
Therefore, the larger integer is 117.
let the two integers be 6x and 13x
6x = 54
x = 9
the larger is 13(9) = 117
check: 54/117 = 6/13