Question

Dylan and his children went into a grocery store and where they sell peaches for $1 each and mangos for $0.50 each. Dylan has $15 to spend and must buy no less than 15 peaches and mangos altogether. If Dylan decided to buy 13 peaches, determine the maximum number of mangos that he could buy.

Answer 1

Answer:

8 mangoes

Step-by-step explanation:

1) lets create 2 systems of inequalities

where m=# of mangoes

            p=# of peaches

so m+p≥15 and 1m+0.5p≤15

lets substitute "13" in  the m+p inequality to see how many mangoes dylan can buy:

m+(13)≥15

subtract "13" from both sides:

m≥2

now we substitute "13" in the other inequality:

m+0.5(13)≤15

m+6.5≤15

subtract 6.5 from both sides:

m≤8.5

m≥2 and m≤8.5

seeing our restriction, we can buy 8 mangoes (since we can't have 1/2 a mango)

hope this helps!