at gumdrops galore candy store, gina and her sister each fill a bag with gumdrops. ginas bag of black…

at gumdrops galore candy store, gina and her sister each fill a bag with gumdrops. ginas bag of black gumdrops weighs $\frac{1}{4}$ of a pound. gina pays for both her gumdrops and her sisters red gumdrops. in all, gina buys $\frac{3}{8}$ of a pound of gumdrops. she wants to know how much her sisters red gumdrops weigh. use an equation to find the weight of her sisters red gumdrops. to write a fraction, use a slash ( / ) to separate the numerator and denominator. her sisters red gumdrops weigh pounds.
Answer
Explanation:
Step1: Set up the equation
Let $x$ be the weight of her sister's red gumdrops. We know that the weight of Gina's black gumdrops plus the weight of her sister's red gumdrops equals the total weight of gumdrops bought. So the equation is $\frac{1}{4}+x = \frac{3}{8}$.
Step2: Solve for $x$
Subtract $\frac{1}{4}$ from both sides of the equation. First, rewrite $\frac{1}{4}$ with a common - denominator of 8, which is $\frac{2}{8}$. Then $x=\frac{3}{8}-\frac{2}{8}$. $x=\frac{3 - 2}{8}=\frac{1}{8}$
Answer:
$\frac{1}{8}$