Question

which of the following explanations would describe the meaning of the equation 70 + 2(50) = 170?
a jane has $50 in her savings account. her grandmother sends her two deposits of $70 each for a total of $140, jane has $170 in her savings account.
b rodney has $70 in his savings account. he collects $100 for two lawns that he has mowed at $50 each. after rodney deposited the money collected into his savings account, he has a balance of $170.
c sofia baby sat for the mcdonalds two nights for $50 total. she deposits her money into her savings account which has $70. sofia deposits the $50 into her savings account, which gives her a balance of $170.
d howard works for his dad at the hardware store both days of the weekend. he earns $70 on his long first day and $50 on day 2 because it is a shorter work day. howard opens a savings account with his first weeks earnings with a starting balance of $170.

Explanation:

Step1: Analyze equation components

The equation is \(70 + 2(50)=170\). Here, \(70\) is an initial amount, \(2(50)\) means two times \(50\) (i.e., \(2\times50 = 100\)), and the sum is \(170\).

Step2: Check each option

• Option A: Initial amount is \(50\), and deposits are two of \(70\) (\(2\times70=140\)), which doesn't match the equation structure.
• Option B: Initial amount \(70\), money from mowing two lawns at \(50\) each (\(2\times50 = 100\)), total \(70+100=170\), matches the equation.
• Option C: It's \(70 + 50\) (not \(2\times50\)), so doesn't match.
• Option D: It's \(70+50\) (not \(70 + 2\times50\)), so doesn't match.

Answer:

B. Rodney has $70 in his savings account. He collects $100 for two lawns that he has mowed at $50 each. After Rodney deposited the money collected into his savings account, he has a balance of $170.