Question

Bags of almonds cost three dollars more than bags of pecans the owner of a bakery ordered five bags of almonds and three bags of pecans the total cost of the order was $55 how much is a bag of almonds cost if a represent almonds which equation represents the situation

Answer 1

Let bags of pecans cost = x

Make an equation :

Bags of almonds cost = x + 3 (they said almonds cost 3 dollars more)

Total number of bags ordered: (3 bags pecans) + (5 bags of almonds)

Cost for pecans = 3x

Cost for almonds = 5(x + 3) = 5x + 15

Price of pecans + price of almonds = total cost

Solve for x:

3x + 5(x + 3) = 55 (remove brackets)

3x + 5x + 15 = 55 (add like terms)

8x + 15 = 55

8x + 15 - 15 = 55 - 15 (get rid of the 15)

8x = 40

8x/8 = 40/8

x = 5

bags pecans cost is $5

bags of almonds is $5+$3 = $8