Malik stops at the grocery store to buy a bag of diapers and 2 cans of formula. He spends a total of $37. The next week he stops and buys 2 bags of diapers and 5 cans of formula for a total of $87. How much does a bag of diapers cost? How much is one can of formula?
Accepted Solution
A:
Answer:Diapers costs $11 and formula is $13.Step-by-step explanation:Let's name diapers as A and formula as B.Simply the equations:1A + 2B = $37(1)2A + 5B = $87(2)Clear D from one equation.A = $37 - 2B(1)Replace D into the other equation.2*($37 - 2B) + 5B = $87(2)$74 - 4B + 5B = $87$74 + B = $87B = $87 - $74 = $13Find A, now knowing B.A = $37 - 2($13)A = $37 - $26 = $11