Leigh earns $1,345.63 per month and budgets 22% of her income for utilities. How much does she spend for utilities?

Question

Avery Alexander · Accepted Answer

#$296.04# rounded to 2 decimal places

#color(blue)("The teaching bit")# There are two things you should be aware of. Point 1: A percentage is essentially just a fraction; the fixed denominator (bottom number) of 100 distinguishes it from other fractions. Point 2: Take a look at the 22% percentage that is provided in the question. There are two ways to write a percentage, and they both indicate the same thing. So on the one hand we have: #color(white)("d.d")22/100-> color(white)("d")22color(white)("d")ubrace(xx1/100)# # color(white)("ddddddddddddddddddddddddd")darrcolor(white)("ddd.d")darrcolor(white)("d.d")darr# And on the other hand we have: #color(white)("d")22% -> 22 color(white)("...d")%# As these are BOTH THE SAME THING then #%# must mean #xx1/100# including the multiply sign. In mathematics cross for multiply means 'of'. Like in 2 of apples #->2xx"apples"# Like 2 of 6 #->2xx6->6+6# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Answering the question")# #ubrace(22%)color(white)("dd.d")ubrace(" of ")color(white)("d")$1,345.63# #color(white)("d")darrcolor(white)("d.dddd")darrcolor(white)("ddddd")darr# #22xx1/100color(white)("d")xxcolor(white)("dd")$1,345.63# #22/100xx$1,345.63= $296.0386larr# Exact value #$296.04# rounded to 2 decimal places It's important to always state the degree of rounding.

Jameson Allen · Answer

undefined Leigh spends $295.64 for utilities.