Let t be the amount of taffy in pounds and c be the amount of chocolate in pounds. Maya wants to spend a total of $30, so the equation is:
$9t + $12c = $30
Dividing by 3, we get:
3t + 4c = 10
To find the possible pairs that satisfy this equation, we can list out the combinations:
(0, 2.5)
(1, 1.25)
(2, 0)
Now let's convert the pairs to pounds of taffy and chocolate:
(0, 2.5) - Maya can buy 0 pounds of taffy and 2.5 pounds of chocolate
(1, 1.25) - Maya can buy 1 pound of taffy and 1.25 pounds of chocolate
(2, 0) - Maya can buy 2 pounds of taffy and 0 pounds of chocolate
Therefore, the pairs that represent possible amounts of taffy and chocolate that Maya could buy are (0, 2.5), (1, 1.25), and (2, 0).
Maya is visiting her favorite candy store, the Sugar Spoon. The candy there is in self-serve bins, so Maya can pick out exactly the amount she wants. She has $30 to spend, and she wants to get a combination of saltwater taffy that costs $9 per pound and chocolate that costs $12 per pound.%0D%0AWhich pairs (t,c) represent possible amounts of taffy and chocolate, in pounds, that Maya could buy?
1 answer
1 answer