Mathematics, 27.06.2019 23:00 yedida
The ratio of alex’s toy cars to jim’s toy cars is 8: 3. how many toy cars do they have altogether, if alex has 40 more cars than jim.
Answers: 1
![\bf \cfrac{\textit{Alex's cars}}{\textit{Jim's cars}}=\cfrac{8}{3}\qquad \qquad \cfrac{\stackrel{\textit{40 more than \underline{j}}}{j+40}}{j}=\cfrac{8}{3}\implies 3j+120=8j \\\\\\ 120=5j\implies \cfrac{120}{5}=j\implies 24=j \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Jim}}{j = 24}\qquad \qquad \stackrel{\textit{Alex}}{24+40\implies 64}\qquad \qquad \stackrel{\textit{altogether}}{24+64\implies 88}](/tpl/images/0024/9739/09b7d.png)
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