The cashews cost per pound, and the almonds cost
per pound.
Lenora bought a total of pounds and paid a total of
.
Find the pounds of cashews and the pounds of almonds that Lenora purchased.
\ Let, be the number of pounds of cashews and
be the number of pounds of almonds.
pounds of cashews and
pounds of almonds costs
.
So, the equation is .
Lenora bought pounds of cashews and almonds.
So, the equation is .
Solve the equation.
\ (Original equation)
(Substitute
)
(Distributive property:
)
(Add:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
Hence, Lenora bought pounds of almonds.
(Substitute
)
(Subtract
from each side)
(Distributive property:
)
Therefore, Lenora bought pounds of cashews.
Lenora bought pounds of cashews and
pounds of almonds.