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Erika has $10.65 made up of dimes and quarters. If there are 54 coins in total, how many dimes are there? 2. A bill of $2.35 was paid in dimes and nickels.
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ANSWERS:
1] 19 dimes, 35 quarters 2] 15 dimes, 17 nickels 3] 2 tens, 20 fives 4] 44 adults, 29 students 5] 39 apples, 21 peaches 6] 20 nickels, 25 dimes, 4 quarters
Exercises – Solve the following problems
Let x be the number of quarters [Value: 25x] Let (117 – x) be the number of dimes [Value: 10(117 – x) ]
25x + 10(117 – x) = 2190 25x + 1170 – 10x = 2190 15x = 2190 – 1170 15x = 1020 15x 1020 15 15
= There are 68 quarters and 49 dimes.
x = 68
Let x be the number of dimes [Value: 10x] Let (x + 6) be the number of nickels [Value: 5(x + 6) ] Let 2x be the number of quarters [Value: 25(2x) ]
10x + 5(x + 6) + 25(2x) = 485 10x + 5x + 30 + 50x = 485 65x = 485 – 30 65x = 455 65x 455 65 65
= There are 7 dimes, 13 nickels and 14 quarters.
x = 7
Let x be the number of quarters [Value: 25x] Let (3x) be the number of nickels [Value: 5(3x) ] Let ½(3x) be the number of dimes [Value: 10(½(3x)) ]
25x + 5(3x) + 10(½(3x)) = 330 25x + 15x + 5(3x) = 330 25x + 15x + 15x = 330 45x = 330 45x 330 45 45
= There are 6 quarters, 18 nickels and 9 dimes.
x = 6
Let x be the number of large pizzas [Value: 12.50x] ( working in dollars) Let (38 – x) be the number of small pizzas [Value: 9(38 – x) ]
12.50x + 9(38 – x) = 415. 12.50x + 342 – 9x = 415. 3.50x = 73.50 They sold 21 large pizzas and 17 small pizzas. x = 21