Question

Sophia and Emily are twin sisters and best friends. They're saving up for concert tickets and agreed to pay for the tickets together when they have enough money. They both created equations to see how fast they were making money and came up with the following expressions: Sophia: 35w + 55 - 10w where w is the number of weeks they have been saving Emily: 28w +75 - 5w + 12 (a) Combine their expressions to see how much they are making together. (b) Using the expressions see if they will have above $350 in four weeks. If not how much will they be short?can I show you the image

Answer 1

a) 48w + 142

b) No; $16 short

Step-by-step explanation

Sophia's equation is:

35w + 55 - 10w

Emily's equation is:

28w + 75 - 5w + 12

a) Combining their equations we have that, they money they would make together is:

35w + 55 - 10w + 28w + 75 - 5w + 12

Collect like terms:

35w - 10w + 28w - 5w + 55 + 75 + 12

48w + 142

That is the combined equation.

b) We want to see if they will make $350 after 4 weeks.

We will make w = 4 and then find the money they have made.

=> Money made = 48(4) + 142

Mm = 192 + 142

Money made = $334

They will not have above $350.

The difference in their money made and $350 is:

350 - 334

= $16

They will be $16 short.