# The squares on a mat are arranged in the following order color pattern; blue, green, red, yellow, brown, purple. If the mat has 64 squares, what is the greatest number of blue squares the mat will have?

$Squares\;are\;arranged\;in\;the\;following\;order\;color\;pattern:\;blue,\;green, \\*red,\;yellow,\;brown,\;purple\\*There\;are\;64\;squares\\*So,\;we\;have\; 6\;square\;in\;a\;row\\* when\;we\;divide\;64\;by\;6\;it\;gives\;10\;as\;quotient\; and\;4\;remainder\\* \therefore we\;will\;have\;10\;rows\;with\;all\;color\; squares\;and\;11^{th}\;row\;with\;4\;squares\;only\\*that\;are\;Blue,\;Green\;Red,\;and\;Yellow\\*So,\;maximum\;number\;of\;blue\;squares\;is\;1\;in\;each\;row\;so\;we\;have\;11\;row\\* \therefore we\;have\;11\;blue\;squares.$

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