Question

Alexandra and her children went into a grocery store and she bought $7.65 worth of

Answer 1

Answer:

$\large \boxed{\text{3 apples and 6 bananas}}$

Step-by-step explanation:

 Let a = the number of apples

And b =  the number of bananas. Then,  

$\begin{array}{rcll}(1) \, 1.75a + 0.40 b & = & 7.65&\\(2)\, \, \, \, \quad \qquad a + b & = &9&\\(3) \, 0.40a + 0.40b & = &3.60&\text{Multiplied (2) by 0.40}\\1.35a & =&4.05\\(4) \, \, \quad \qquad \qquad a & =& \mathbf{3}&\text{Divided each side by 1.35}\\3 + b & = &9& \text{Substituted(4) into (2)}\\b &=& \mathbf{6}&\text{Subtracted 3 from each side}\\\end{array}\\\text{They bought \large \boxed{\textbf{3 apples and 6 bananas}} }$

Check:

$\begin{array}{cccl}3(1.75) + 6(0.40) = 7.65 & \qquad & 3 + 6 = 9\\5.25 + 2.40 = 7.65 & \qquad & 9 = 9\\7.65 = 7.65 & \qquad & \\\end{array}$

OK.