Question

Write an equation and a solution for the problem. A health food store sells oatmeal for $3.60 per pound and bran flakes for $4.80 per pound. How many pounds of each should be used to get a mixture of 30 pounds that sells for $4.00 a pound?

Answer 1

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Answer 2

20 pounds of oatmeal are needed
10 pounds of bran flakes are needed

Answer 3

got it ?

Answer 4

Write an equation & a solution for it.

Answer 5

Let a = pounds of oatmeal needed
Let b = pounds of bran flakes needed
given:
(1) a + b = 30}}}
{{{ (360a + 480b) / 30 = 400 }}} (in cents)
{{{ 360a + 480b = 12000 }}}
(2) {{{ 3a + 4b = 100 }}}
Multiply both sides of (1) by {{{3}}}
and subtract (1) from (2)
(2) {{{ 3a + 4b = 100 }}}
(1) {{{-3a - 3b = -90}}}
{{{b = 10}}}
and, since
(1) {{{a + b = 30}}}
(1) {{{a = 30 - 10}}}
(1) {{{a = 20}}}
20 pounds of oatmeal are needed
10 pounds of bran flakes are needed
check:
{{{ (360a + 480b) / 30 = 400 }}}
{{{ (360*20 + 480*10) / 30 = 400 }}}
{{{ (7200 + 4800) / 30 = 400 }}}
{{{ 12000/30 = 400 }}}
{{{ 12000 = 12000 }}}

Answer 6

got ?

Answer 7

Thank you.
(:

Answer 8

Will you help me with my other question?