Write Expression from Context (Ax+By)

Question

Elizabeth has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $21 per hour to work at the grocery store and $17 per hour to work at the nursery. How many total hours does she work if she does 10 hours at the grocery store and 8 hours at the nursery? How many total hours does she work if she does g hours at the grocery store and n hours at the nursery?

Answer 1

$21 per hour at the grocery store

$17 per hour at the nursery

10 hours at the grocery store + 8 hours at the nursery = 18 total hours

10(21)+8(17)= 210+136 = $346 total payments

Ax+By = 21(10)+8(17)=total payments

g hours at the grocery store + n hours at the nursery = g+n total hours

21g+17n = total payments