Answer to Question #328744 in Algebra for Busi

Question

Jemima has three boxes whose total weight is 51 1

5 kg. Box B weighs 5 1

2 kg more than box A and box C

weighs 3 1

5 kg more than box B. Choose the correct statement.

[1] Box A weighs 17 5

6 kg.

[2] Box C weighs 21 1

30 kg.

[3] Box A weighs 42 1

2 kg.

[4] Box B weighs 12 1

3 kg

Answer 1

$B=A+5\frac{1}{2}$

$C=B+3\frac{1}{5}$

$A+B+C=51\frac{1}{5}$

$B-5\frac{1}{2}+B+B+3\frac{1}{5}=51\frac{1}{5}$

$3B=53.5$

$B=17.83$ kg

$A=17.83-5.5=12.33$ kg

$C=17.83+3.2=21.03$ kg

Answer: [2] Box C weighs $21.03$ kg