A candy store wants to creat a mix using two hard candies.
\One is priced at per pound and other is priced at
per pound.
Find pounds of the candy should mixed with
pounds of the
candy.
Total price of the mixed candies is per pound.
Let is pounds of
.
Make a table:
\Hard candies | \Number of pounds | \Price | \ \
Total price \ | \
First candy | \ ![]() | \
![]() | \
![]() | \
Second Candy \ \ | \![]() | \
![]() | \
![]() | \
Total | \![]() | \
![]() | \
![]() | \
Observe the table:
\Total price of first candy plus Total price of second candy equals Total price of two candies.
\.
Solve the equation.
\ (Original equation)
(Simplify)
(Subtract
from each side)
(Apply additive inverse property:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
pounds of the second candy should be mixed with
pounds of the first candy.
pounds of the second candy should be mixed with
pounds of the first candy.