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Select the correctsystem of equationsfor the followingproblem. There are twice as many girls as boys in the Science Squad at Hightown Middle School. If 24 students are in the club, then how many are boys,and how many are girls? 2nd equation: number of girls compared to boys 1st equation: total students in the club b + g = 24 g = 2b b + 2g = 24 b + g = 2 b + g = 24 b = 2g b + 2g = 24 b = g There are twice as many girls as boys in the Science Squad at Hightown Middle School. If 24 students are in the club, how many of them are boys and how many are girls? boys (b) 10 6 7 8 9 girls (2b) 12 There are twice as many girls as boys in the Science Squad at Hightown Middle School. If 24 students are in the club, how many of them are boys and how many are girls? boys (b) 10 6 7 8 9 girls (2b) 12 14 16 18 20 6-12 7-14 8-16 9-18 10-20 All rows have twice asmany girls as boys. Click next to the row that ALSO has24 total students You can solve by SUBSTITUTION... Twice as many girls as boys. Total: 24 students. b + g = 24 g = 2b The MEAT of the problem was: Substitute Original Combine b's Solve b + = 24 b + g = 24 b = = 24 Fredward is buying juice and soda for his birthday party. He wants to buy 12 total bottles and can spend $29. If juice cost $3 per bottle and soda cost $2 per bottle, how many bottles of each should he buy? Money Spent Equation ? Total Bottles Equation ? Fredward is buying juice and soda for his birthday party. He wants to buy 12 total bottles and can spend $29. If juice cost $3 per bottle and soda cost $2 per bottle, how many bottles of each should he buy? j + s = 29 j + s = 12 j = 3 s = 2 3j + 2s = 29 j + s = 12 3j = 29 2s = 12 3j + 2s = 29 j + s = 12 Fredward is buying juice and soda for his birthday party. He wants to buy 12 total bottles and can spend $29. If juice cost $3 per bottle and soda cost $2 per bottle, how many bottles of each should he buy? Yes, a pair cancels out to zero when combined No, no pair cancels out to zero when combined Cannot be Determined - Too many numbers Are ANY of these pairs of like terms ZERO PAIRS? 3j + 2s = 29 j + s = 12 Fredward is buying juice and soda for his birthday party. He wants to buy 12 total bottles and can spend $29. If juice cost $3 per bottle and soda cost $2 per bottle, how many bottles of each should he buy? Add Since there are no zero pairs, what operationcan we do to either equation to CREATE one? Subtract Multiply square root 3j + 2s = 29 j + s = 12 Fredward is buying juice and soda for his birthday party. He wants to buy 12 total bottles and can spend $29. If juice cost $3 per bottle and soda cost $2 per bottle, how many bottles of each should he buy? Fill in the BLANK to create a ZERO pair + 2s s 3j + 2s = 29 j + s = 12 Fredward is buying juice and soda for his birthday party. He wants to buy 12 total bottles and can spend $29. If juice cost $3 per bottle and soda cost $2 per bottle, how many bottles of each should he buy? What number should youmultiply the second equation byto change +s to -2s? * ? +2s -2s 3j + 2s = 29 j + s = 12 Fredward is buying juice and soda for his birthday party. He wants to buy 12 total bottles and can spend $29. If juice cost $3 per bottle and soda cost $2 per bottle, how many bottles of each should he buy? Fill in the missing coefficients and constantto rewrite the old equation, j + s = 12,to the new equation. * (-2) 3j +2s = 29 j s = 3j + 2s = 29 j + s = 12 Fredward is buying juice and soda for his birthday party. He wants to buy 12 total bottles and can spend $29. If juice cost $3 per bottle and soda cost $2 per bottle, how many bottles of each should he buy? * (-2) j+ s = 5 j - s = -5 Combining the equations yields which sum ??? 3j +2s = 29 -2j -2s = -24 j = 5 j = -5 3j + 2s = 29 j + s = 12 Fredward is buying juice and soda for his birthday party. He wants to buy 12 total bottles and can spend $29. If juice cost $3 per bottle and soda cost $2 per bottle, how many bottles of each should he buy? Ok, so j = 5,which equationcan you substitute 5 for jto solve in ONLY 1 STEP? * (-2) 3j + 2s = 29 j + s = 12 3j +2s = 29 -2j -2s = -24 j = 5 3j + 2s = 29 j + s = 12 Fredward is buying juice and soda for his birthday party. He wants to buy 12 total bottles and can spend $29. If juice cost $3 per bottle and soda cost $2 per bottle, how many bottles of each should he buy? Solve for S * (-2) 3j +2s = 29 -2j -2s = -24 j = 5 j + s = 12 + s = 12 5 s = 3j + 2s = 29 j + s = 12 Fredward is buying juice and soda for his birthday party. He wants to buy 12 total bottles and can spend $29. If juice cost $3 per bottle and soda cost $2 per bottle, how many bottles of each should he buy? The SOLUTION5 juices and 7 sodaswill make which of the original equations true ??? j + s = 12 3j + 2s = 29 BOTH NEITHER * (-2) 3j +2s = 29 -2j -2s = -24 j = 5 FINITO |