Question

Ellie and Jordan went to the store where packs of gum cost 85¢ each and candy bars cost 60¢ each. They spent $15.00 and brought 4 more packages of gum than candy bars. How many packages of gum did they buy?

Answer 1

Answer: 22

Explanation:

The number of the gum is 13 and the number of the candy will be 22.

What is linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Jane and Sophia went to the corner store where packages of gum cost 54¢ each and candy bars cost 88¢ each.

They spent $26.38 total and bought 35 items total.

Let x be the number of the gum and y be the number of the candy.

Then the equation will be

x + y = 35 ...1

0.54x + 0.88y = 26.38 ...2

By solving the equations 1 and 2, then we have

x = 13 and y = 22

Then the number of the gum is 13 and the number of the candy will be 22.

Answer 2

they bought 8 candy bars and 8 + 4 = 12 packs of gum.

Explanation:

Let's use algebra to solve this problem:

Let x be the number of candy bars they bought.

Then, the number of packs of gum they bought is x + 4.

The total cost of the candy bars is 60x cents.

The total cost of the packs of gum is 85(x + 4) cents.

We know that they spent $15.00, which is 1500 cents, so we can write an equation:

60x + 85(x + 4) = 1500

Simplifying the equation, we get:

145x + 340 = 1500

145x = 1160

x = 8

Therefore, they bought 8 candy bars and 8 + 4 = 12 packs of gum