# math

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• 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.﻿
• Dirk gets paid \$5 a hour﻿
• If you do it vice versa you get 5.﻿
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