MATH SOLVE

4 months ago

Q:
# The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60. The inequality 2.5x + 4y less than or equal to 60 represents the possible combinations of chips (x) and salsa (y) you can buy.graph of the inequality 2.5 x plus 4 y is less than or equal to 60Which of the following does not represent a solution to the inequality? 10 bags of chips and 2 jars of salsa 20 bags of chips and 2 jars of salsa 14 bags of chips and 5 jars of salsa 18 bags of chips and 6 jars of salsa

Accepted Solution

A:

Answer:Number of salsa jars you can buy is 8 jarsThe number of bags of chips you can buy is 28 bagsStep-by-step explanation:The question above is incomplete.In other to complete it, we would have to make some assumptions.You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60. The inequality 2.5x + 4y less than or equal to 60 represents the possible combinations of chips (x) and salsa (y ) you can buy.Hence, we solve for x and yThe inequality is given:2.5x + 4y β€ 602.5x + 4y = 60........ Equation 1Let us assume that the total number of bags of chips - jar of salsa you can buy is equal to 20.Hence:x - y = 20...... Equation 2x = 20 + ySubstitute 20 + y for x in Equation 12.5x + 4y = 60........ Equation 12.5(20 + y) + 4y = 6050 + 2.5y + 4y = 60Collect like terms2.5y + 4y = 60 -506.5y = 50y = 50/6.5y = 7.6923076923Approximately to the nearest whole numberNumber of salsa jars you can buy is 8From here, we can solve for x based on this assumptionsx - y = 20x - 8 = 20x = 20 + 8x = 28The number of bags of chips you can buy is 28 bags