Use $1$ pound $=16$ ounces to rewrite 12 ounces as a decimal number of pounds.

After you write the weight equation, multiply by a convenient number so you can work with whole numbers, then use substitution (or elimination) to solve the system. Сοnte‍nt bу Аnікo.ai

In Desmos, enter the system using $x$ and $y$:

• 0.75x + 1.5y = 18
• 5.4x + 12y = 138

Click the intersection of the two lines. The intersection represents the values of $(x,y)$ that satisfy both total weight and total cost.

Use the $x$-coordinate of the intersection as the number of almond bags, then choose the answer option that matches that $x$-value. C​on‌tеn‍t ‍bу Aniko.аі

Let $x$ be the number of 12-ounce almond bags and let $y$ be the number of 1.5-pound cashew bags.

Convert 12 ounces to pounds:

So each almond bag weighs $0.75$ lb, and each cashew bag weighs $1.5$ lb.

Total weight is 18 lb:

Total cost is $138:

Multiply the weight equation by 4 to clear decimals:

Рrope⁠rty⁠ ​of Аni⁠ко.​аі

Divide by 3:

Solve for $x$:

Substitute into the cost equation:

Distribute and combine like terms:

Now find $x$:

So the shop buys 10 bags of almonds.