Question 222208
Let {{{x}}} = ounces of white beans needed
{{{16}}} oz = {{{1}}} lb
{{{x/16}}} = pounds of white beans needed
given:
{{{8}}} oz of lintels = {{{1/2}}} pound lintels
{{{(1/2)*70 = 35}}} cents for lintels
and
{{{(x/16)*110 = 6.875x}}} cents for white beans
finally,
{{{35 + 6.875x = 85*(x/16 + 1/2)}}}
Multiply both sides by {{{16}}}
{{{35*16 + 6.875*16x = 85x + 85*8}}}
{{{560 + 110x = 85x + 680}}}
{{{25x = 120}}}
{{{x = 4.8}}}
4.8 oz of white beans are needed
check:
{{{35 + 6.875x = 85*(x/16 + 1/2)}}}
{{{35 + 6.875*4.8 = 85*(4.8/16 + 1/2)}}}
{{{35 + 33 = 85*(.3 + .5)}}}
{{{68 = .8*85}}}
{{{68 = 68}}}
OK