Question 714284
Let {{{ b }}} = the cost per pound in dollars of bananas
Let {{{ t }}} = the cost per pound in dollars of tofu
given:
(1) {{{ 2b + 4t = 6.4 }}}
(2) {{{ t = 6b }}}
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Substitute (2) into (1)
(1) {{{ 2b + 4*(6b) = 6.4 }}}
(1) {{{ 2b + 24b = 6.4 }}}
(1) {{{ 26b = 6.4 }}}
(1) {{{ b = .2462 }}}
and, since
(2) {{{ t = 6b }}}
(2) {{{ t = 6*.2462 }}}
(2) {{{ t = 1.4769 }}}
The bananas are $.25 / lb
The Tofu is $1.48 / lb
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(1) {{{ 2b + 4t = 6.4 }}}
(1) {{{ 2*.2462 + 4*1.4769 = 6.4 }}}
(1) {{{ .4924 + 5.9076 = 6.4 }}}
(1) {{{ 6.4 = 6.4 }}}
OK