Problema Solution
A student has a number of $50 bonds and $100 savings bonds to use for part of her college expenses. The total value of the bonds is $850. There are 8 more $50 bonds than $100 bonds. How many of each type of bond does she have ?
Answer provided by our tutors
let
x = the number of $50 bonds
y = the number of $100 bonds
the value of the 50% bonds + the value of the $100 bonds = the total value ($850)
50*x + 100*y = 850
there are 8 more $50 bonds than $100 bonds
x = y + 8
by solving the system
x = y + 8
50*x + 100*y = 850
we find
x = 11
y = 3
She has 11 bonds of $50 and 3 bonds of $100.
let
x = the number of $50 bonds
y = the number of $100 bonds
the value of the 50% bonds + the value of the $100 bonds = the total value ($850)
50*x + 100*y = 850
there are 8 more $50 bonds than $100 bonds
x = y + 8
by solving the system
x = y + 8
50*x + 100*y = 850
we find
x = 11
y = 3
She has 11 bonds of $50 and 3 bonds of $100.