Respuesta :
a = price of the desktop
b = price of the laptop
now, we know the laptop was more expensive than the desktop by 250 bucks, thus b = a + 250.
for "a", he paid 8.5% in interest, for "b", he paid 5% in interest.
how much is 8.5% of a? well (8.5/100) * a, or 0.085a.
how much is 5% of b? well, (5/100) * b, or 0.05b.
now, we know the total charges for financing were $296, that means the interest paid in total was 296, thus whatever "a" or "b" are, we know that 0.085a + 0.05b = 296.
[tex]\bf \begin{cases} \boxed{b}=a+250\\ 0.085a+0.05b=296\\ ----------\\ 0.085a+0.05\left( \boxed{a+250} \right)=296 \end{cases} \\\\\\ 0.085a+0.05a+12.5=296\implies 0.135a=283.5 \\\\\\ a=\cfrac{283.5}{0.135}\implies a=2100[/tex]
how much did the laptop cost? well, b = a + 250.
b = price of the laptop
now, we know the laptop was more expensive than the desktop by 250 bucks, thus b = a + 250.
for "a", he paid 8.5% in interest, for "b", he paid 5% in interest.
how much is 8.5% of a? well (8.5/100) * a, or 0.085a.
how much is 5% of b? well, (5/100) * b, or 0.05b.
now, we know the total charges for financing were $296, that means the interest paid in total was 296, thus whatever "a" or "b" are, we know that 0.085a + 0.05b = 296.
[tex]\bf \begin{cases} \boxed{b}=a+250\\ 0.085a+0.05b=296\\ ----------\\ 0.085a+0.05\left( \boxed{a+250} \right)=296 \end{cases} \\\\\\ 0.085a+0.05a+12.5=296\implies 0.135a=283.5 \\\\\\ a=\cfrac{283.5}{0.135}\implies a=2100[/tex]
how much did the laptop cost? well, b = a + 250.
