Amanda and Dirk made $220 altogether in one week. Both worked 20 hours each in one week. The next week Juan worked 14 hours and Amanda worked 15 hours. They earned $160 altogether. How much do they get paid?
My equation is 20x plus 20y = 220
My equation is 14x plus 15y= 160
We chose 20x plus 20x = 220. Next, we simplified the equation to 2x plus 2y=22 (divided by 10). We simplified once more (divided by 2). Then, we got x plus y = 11. Finally, we substitute with 14. Use the distribute property 14(11-y) = 154 - 14y plus 15y = 160. Combine like terms.
Amanda gets paid $6 a hour
-14y plus 15y = y. Then, subtract 154 with 154 and doing it on the opposite side. You would subtract 160-154 = 6.