Stella and her children went into a grocery store where they sell peaches for $2 each and mangos for $1.25 each. Stella has $25 to spend and must buy at least 14 peaches and mangos altogether. If Stella decided to buy 4 peaches, determine all possible values for the number of mangos that she could buy.
If Stella buys 4 peaches at $2 each, she will spend $8 on peaches, leaving her with $17 to spend on mangos.
Let x represent the number of mangos Stella buys. Since each mango costs $1.25, the total cost of the mangos will be 1.25x.
Since Stella must buy at least 14 peaches and mangos altogether, the total number of fruits must be at least 14. Therefore, the equation we have is:
4 (peaches) + x (mangos) ≥ 14
4 + x ≥ 14
x ≥ 10
Therefore, Stella must buy at least 10 mangos if she buys 4 peaches.
Since she has $17 left after buying 4 peaches, the maximum number of mangos she can buy is:
17 / 1.25 = 13.6
Since she must buy a whole number of mangos, she can buy a maximum of 13 mangos.
Therefore, the possible values for the number of mangos Stella could buy if she buys 4 peaches are 10, 11, 12, or 13.