use proportional reasoning to determine the value of a in the proportion shown below.\n$\frac{3}{5}=\frac{a…

use proportional reasoning to determine the value of a in the proportion shown below.\n$\frac{3}{5}=\frac{a + 5}{25}$\n$a = 1$\n$a = 25$\n$a = 10$\n$a = 15$

use proportional reasoning to determine the value of a in the proportion shown below.\n$\frac{3}{5}=\frac{a + 5}{25}$\n$a = 1$\n$a = 25$\n$a = 10$\n$a = 15$

Answer

Explanation:

Step1: Cross - multiply

$3\times25 = 5\times(a + 5)$

Step2: Simplify left - hand side

$75=5\times(a + 5)$

Step3: Distribute on right - hand side

$75 = 5a+25$

Step4: Subtract 25 from both sides

$75−25=5a+25 - 25$ $50 = 5a$

Step5: Divide both sides by 5

$\frac{50}{5}=\frac{5a}{5}$ $a = 10$

Answer:

$a = 10$