Respuesta :
I wasn't going to click on this entry, but the ALL-CAPS entranced me and enthralled me, so I had to click it.
well, if he gave his dog 1/5 of the money, what's left is just 4/5, recall 5/5 is a whole, so [tex]\bf \cfrac{4}{5}+\cfrac{1}{5}\implies \cfrac{5}{5}\implies 1whole[/tex]
now, let's divide that 4/5 in 3 even pieces
[tex]\bf \cfrac{\frac{4}{5}}{3}\implies \cfrac{\frac{4}{5}}{\frac{3}{1}}\implies \cfrac{4}{5}\cdot \cfrac{1}{3}\implies \cfrac{4\cdot 1}{5\cdot 3}\implies \cfrac{4}{15}[/tex]
now, his donation to each charity was 60 bucks, so 4/5, of say "x", "x" being to total amount, is 60, thus (4/5)x = 60
[tex]\bf \cfrac{4}{5}x=60\implies \cfrac{4x}{5}=60\implies x=\cfrac{5\cdot 60}{4}[/tex]
and surely you know how much that is.
well, if he gave his dog 1/5 of the money, what's left is just 4/5, recall 5/5 is a whole, so [tex]\bf \cfrac{4}{5}+\cfrac{1}{5}\implies \cfrac{5}{5}\implies 1whole[/tex]
now, let's divide that 4/5 in 3 even pieces
[tex]\bf \cfrac{\frac{4}{5}}{3}\implies \cfrac{\frac{4}{5}}{\frac{3}{1}}\implies \cfrac{4}{5}\cdot \cfrac{1}{3}\implies \cfrac{4\cdot 1}{5\cdot 3}\implies \cfrac{4}{15}[/tex]
now, his donation to each charity was 60 bucks, so 4/5, of say "x", "x" being to total amount, is 60, thus (4/5)x = 60
[tex]\bf \cfrac{4}{5}x=60\implies \cfrac{4x}{5}=60\implies x=\cfrac{5\cdot 60}{4}[/tex]
and surely you know how much that is.
Answer:
Mr.Scruggs received $225 on his birthday.
Step-by-step explanation:
Amount donated to each charity = $60
So, amount donated to 3 charities = [tex]60\times3=180[/tex] dollars
Let the amount received on the birthday be = x
Given is that he spent 1/5 of x on dog treats, and remaining was divided among charities.
The equation can be formed as:
[tex]x-x/5=180[/tex]
[tex](5x-x)/5=180[/tex]
[tex]4x/5=180[/tex]
[tex]4x=900[/tex]
x = 225
Hence, he received $225 on his birthday.
And to know how much each charity received, we get [tex]\frac{60}{225}[/tex]
Dividing by 5:
[tex]\frac{12}{45}[/tex]
Dividing by 3:
[tex]\frac{4}{15}[/tex]
Hence, each charity received [tex]\frac{4}{15}[/tex] of his money.
[tex]\frac{4}{15}[/tex] of $225 is $60.
