Angel and his children went into a grocery store and where they sell peaches for $0.75 each and mangos for $1.25 each. Angel has $15 to spend and must buy no less than 12 peaches and mangos altogether. If Angel decided to buy 6 mangos, determine all possible values for the number of peaches that he could buy. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
6(1.25) + .75p = 15
7.50 + .75p = 15
.75p = 10.50
Divide both sides by .75 to find p (the number of peaches).
Let's assume Angel buys "p" peaches.
The cost of each peach is $0.75, so the total cost for "p" peaches is $0.75*p.
He also buys 6 mangos, and each mango costs $1.25, so the total cost for 6 mangos is $1.25*6 = $7.50.
Since Angel has $15 to spend, the total cost of peaches and mangos combined should be less than or equal to $15.
Therefore, the equation becomes:
0.75p + 7.50 <= 15
Simplifying the equation:
0.75p <= 15 - 7.50
0.75p <= 7.50
p <= 7.50 / 0.75
p <= 10
Since Angel must buy at least 12 peaches and mangos altogether, the possible values for the number of peaches (p) are:
12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30
Therefore, the possible values for the number of peaches that Angel could buy are: 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30.
To determine all possible values for the number of peaches that Angel could buy, we need to find the number of remaining dollars after buying the mangos and divide it by the price of each peach.
First, let's calculate the total cost of the mangos Angel wants to buy. Since each mango costs $1.25 and he wants to buy 6 of them, the total cost would be 6 * $1.25 = $7.50.
Now, subtract this cost from the total amount Angel has to spend: $15 - $7.50 = $7.50.
Next, we need to find the maximum number of peaches Angel can buy using the remaining $7.50. Since each peach costs $0.75, divide the remaining amount by the price of each peach: $7.50 / $0.75 = 10.
Therefore, Angel can buy a maximum of 10 peaches.
Now, to find all possible values, we can count down from this maximum number. So the possible values for the number of peaches that Angel could buy are: 10, 9, 8, 7, 6, 5, 4, 3, 2, 1.
Therefore, the answer is: 10, 9, 8, 7, 6, 5, 4, 3, 2, 1.