Answer to Question #143434 in Algebra for Christina

Question

1 1/4 % of __ =8.25
200% of __ =75
__ of 5.4 =2.16
__ of 1,480 =10,064

Answer 1

$\implies$ $\frac{11}{4}$ % of __ = 8.25

$\frac{11}{4}$ % of $x$ = 8.25

$\frac{11}{4}$($\frac{1}{100}$)($x$) = 8.25

$\frac{11x}{400}$ = 8.25

11$x$ = 8.25(400)

11$x$ = 3300

$x$ = $\frac{3300}{11}$ = 300

$x$ = 300

$\frac{11}{4}$ % of 37.5 = 8.25

$\implies$ 200% 0f __ = 75

200% of $x$ = 75

200($\frac{1}{100}$)$x$ = 75

200$x$ =75(100)

200$x$ = 7500

$x$ = $\frac{7500}{200}$ = 37.5

$x$ = 37.5,

200% of 37.5 = 75

$\implies$ __ of 5.4 = 2.16

$x$ of 5.4 = 2.16

$x$ (5.4) = 2.16

$x$ = $\frac{2.16}{5.4}$ = 0.4

$x$ = 0.4,

0.4 of 5.4 = 2.16

$\implies$ __ of 1,480 = 10,064

$x$ of 1,480 = 10,064

$x$ (1,480) = 10,064

$x$ = $\frac{10,064}{1,480}$ = 6.8

$x$ = 6.8,

6.8 of 1,480 = 10,064